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Finding the Fourth Proportional to 497.16, 686.81 and 392.94

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Solution

The fourth proportional to 497.16, 686.81 and 392.94 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.16 : 686.81 = 392.94 : x
  2. Step 2: Convert to fraction form
    497.16/686.81 = 392.94/x
  3. Step 3: Cross multiply
    497.16x = 686.81 × 392.94
  4. Step 4: Simplify right side
    497.16x = 269,875.12
  5. Step 5: Solve for x
    x = 269,875.12/497.16
  6. Step 6: Final answer
    x = 542.83

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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.