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Finding the Fourth Proportional to 497.90, 686.93 and 320.73

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Solution

The fourth proportional to 497.90, 686.93 and 320.73 is: 442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.90 : 686.93 = 320.73 : x
  2. Step 2: Convert to fraction form
    497.90/686.93 = 320.73/x
  3. Step 3: Cross multiply
    497.90x = 686.93 × 320.73
  4. Step 4: Simplify right side
    497.90x = 220,317.46
  5. Step 5: Solve for x
    x = 220,317.46/497.90
  6. Step 6: Final answer
    x = 442.50

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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.