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Finding the Fourth Proportional to 687.44, 948.10 and 438.76

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Solution

The fourth proportional to 687.44, 948.10 and 438.76 is: 605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.44 : 948.10 = 438.76 : x
  2. Step 2: Convert to fraction form
    687.44/948.10 = 438.76/x
  3. Step 3: Cross multiply
    687.44x = 948.10 × 438.76
  4. Step 4: Simplify right side
    687.44x = 415,988.36
  5. Step 5: Solve for x
    x = 415,988.36/687.44
  6. Step 6: Final answer
    x = 605.13

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.