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Finding the Fourth Proportional to 643.14, 887.15 and 410.27

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Solution

The fourth proportional to 643.14, 887.15 and 410.27 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 887.15 = 410.27 : x
  2. Step 2: Convert to fraction form
    643.14/887.15 = 410.27/x
  3. Step 3: Cross multiply
    643.14x = 887.15 × 410.27
  4. Step 4: Simplify right side
    643.14x = 363,967.62
  5. Step 5: Solve for x
    x = 363,967.62/643.14
  6. Step 6: Final answer
    x = 565.92

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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.