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Finding the Fourth Proportional to 643.39, 887.70 and 410.56

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Solution

The fourth proportional to 643.39, 887.70 and 410.56 is: 566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.39 : 887.70 = 410.56 : x
  2. Step 2: Convert to fraction form
    643.39/887.70 = 410.56/x
  3. Step 3: Cross multiply
    643.39x = 887.70 × 410.56
  4. Step 4: Simplify right side
    643.39x = 364,454.11
  5. Step 5: Solve for x
    x = 364,454.11/643.39
  6. Step 6: Final answer
    x = 566.46

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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.