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Finding the Fourth Proportional to 497.82, 686.22 and 404.12

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Solution

The fourth proportional to 497.82, 686.22 and 404.12 is: 557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.82 : 686.22 = 404.12 : x
  2. Step 2: Convert to fraction form
    497.82/686.22 = 404.12/x
  3. Step 3: Cross multiply
    497.82x = 686.22 × 404.12
  4. Step 4: Simplify right side
    497.82x = 277,315.23
  5. Step 5: Solve for x
    x = 277,315.23/497.82
  6. Step 6: Final answer
    x = 557.06

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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.