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Finding the Fourth Proportional to 497.40, 686.06 and 404.15

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Solution

The fourth proportional to 497.40, 686.06 and 404.15 is: 557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 686.06 = 404.15 : x
  2. Step 2: Convert to fraction form
    497.40/686.06 = 404.15/x
  3. Step 3: Cross multiply
    497.40x = 686.06 × 404.15
  4. Step 4: Simplify right side
    497.40x = 277,267.72
  5. Step 5: Solve for x
    x = 277,267.72/497.40
  6. Step 6: Final answer
    x = 557.43

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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.