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Finding the Fourth Proportional to 497.32, 686.35 and 414.28

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Solution

The fourth proportional to 497.32, 686.35 and 414.28 is: 571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.32 : 686.35 = 414.28 : x
  2. Step 2: Convert to fraction form
    497.32/686.35 = 414.28/x
  3. Step 3: Cross multiply
    497.32x = 686.35 × 414.28
  4. Step 4: Simplify right side
    497.32x = 284,341.08
  5. Step 5: Solve for x
    x = 284,341.08/497.32
  6. Step 6: Final answer
    x = 571.75

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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.