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Finding the Fourth Proportional to 498.02, 686.94 and 392.94

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Solution

The fourth proportional to 498.02, 686.94 and 392.94 is: 542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 686.94 = 392.94 : x
  2. Step 2: Convert to fraction form
    498.02/686.94 = 392.94/x
  3. Step 3: Cross multiply
    498.02x = 686.94 × 392.94
  4. Step 4: Simplify right side
    498.02x = 269,926.20
  5. Step 5: Solve for x
    x = 269,926.20/498.02
  6. Step 6: Final answer
    x = 542.00

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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.