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Finding the Fourth Proportional to 497.69, 686.50 and 320.88

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Solution

The fourth proportional to 497.69, 686.50 and 320.88 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.69 : 686.50 = 320.88 : x
  2. Step 2: Convert to fraction form
    497.69/686.50 = 320.88/x
  3. Step 3: Cross multiply
    497.69x = 686.50 × 320.88
  4. Step 4: Simplify right side
    497.69x = 220,283.32
  5. Step 5: Solve for x
    x = 220,283.32/497.69
  6. Step 6: Final answer
    x = 442.61

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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.