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Finding the Fourth Proportional to 497.66, 686.40 and 404.40

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Solution

The fourth proportional to 497.66, 686.40 and 404.40 is: 557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 686.40 = 404.40 : x
  2. Step 2: Convert to fraction form
    497.66/686.40 = 404.40/x
  3. Step 3: Cross multiply
    497.66x = 686.40 × 404.40
  4. Step 4: Simplify right side
    497.66x = 277,580.16
  5. Step 5: Solve for x
    x = 277,580.16/497.66
  6. Step 6: Final answer
    x = 557.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.