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Finding the Fourth Proportional to 497.68, 686.60 and 320.61

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Solution

The fourth proportional to 497.68, 686.60 and 320.61 is: 442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 686.60 = 320.61 : x
  2. Step 2: Convert to fraction form
    497.68/686.60 = 320.61/x
  3. Step 3: Cross multiply
    497.68x = 686.60 × 320.61
  4. Step 4: Simplify right side
    497.68x = 220,130.83
  5. Step 5: Solve for x
    x = 220,130.83/497.68
  6. Step 6: Final answer
    x = 442.31

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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.