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Finding the Fourth Proportional to 643.44, 965.16 and 457.56

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Solution

The fourth proportional to 643.44, 965.16 and 457.56 is: 686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.44 : 965.16 = 457.56 : x
  2. Step 2: Convert to fraction form
    643.44/965.16 = 457.56/x
  3. Step 3: Cross multiply
    643.44x = 965.16 × 457.56
  4. Step 4: Simplify right side
    643.44x = 441,618.61
  5. Step 5: Solve for x
    x = 441,618.61/643.44
  6. Step 6: Final answer
    x = 686.34

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.