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Finding the Fourth Proportional to 497.90, 686.99 and 301.41

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Solution

The fourth proportional to 497.90, 686.99 and 301.41 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.90 : 686.99 = 301.41 : x
  2. Step 2: Convert to fraction form
    497.90/686.99 = 301.41/x
  3. Step 3: Cross multiply
    497.90x = 686.99 × 301.41
  4. Step 4: Simplify right side
    497.90x = 207,060.71
  5. Step 5: Solve for x
    x = 207,060.71/497.90
  6. Step 6: Final answer
    x = 415.87

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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.