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Finding the Fourth Proportional to 497.67, 686.84 and 285.02

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Solution

The fourth proportional to 497.67, 686.84 and 285.02 is: 393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.67 : 686.84 = 285.02 : x
  2. Step 2: Convert to fraction form
    497.67/686.84 = 285.02/x
  3. Step 3: Cross multiply
    497.67x = 686.84 × 285.02
  4. Step 4: Simplify right side
    497.67x = 195,758.28
  5. Step 5: Solve for x
    x = 195,758.28/497.67
  6. Step 6: Final answer
    x = 393.35

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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.