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Finding the Fourth Proportional to 497.21, 686.21 and 284.55

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Solution

The fourth proportional to 497.21, 686.21 and 284.55 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.21 : 686.21 = 284.55 : x
  2. Step 2: Convert to fraction form
    497.21/686.21 = 284.55/x
  3. Step 3: Cross multiply
    497.21x = 686.21 × 284.55
  4. Step 4: Simplify right side
    497.21x = 195,259.30
  5. Step 5: Solve for x
    x = 195,259.30/497.21
  6. Step 6: Final answer
    x = 392.71

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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.