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Finding the Fourth Proportional to 497.23, 686.50 and 320.27

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Solution

The fourth proportional to 497.23, 686.50 and 320.27 is: 442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.23 : 686.50 = 320.27 : x
  2. Step 2: Convert to fraction form
    497.23/686.50 = 320.27/x
  3. Step 3: Cross multiply
    497.23x = 686.50 × 320.27
  4. Step 4: Simplify right side
    497.23x = 219,865.36
  5. Step 5: Solve for x
    x = 219,865.36/497.23
  6. Step 6: Final answer
    x = 442.18

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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.