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Finding the Fourth Proportional to 545.68, 819.42 and 340.24

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Solution

The fourth proportional to 545.68, 819.42 and 340.24 is: 510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.68 : 819.42 = 340.24 : x
  2. Step 2: Convert to fraction form
    545.68/819.42 = 340.24/x
  3. Step 3: Cross multiply
    545.68x = 819.42 × 340.24
  4. Step 4: Simplify right side
    545.68x = 278,799.46
  5. Step 5: Solve for x
    x = 278,799.46/545.68
  6. Step 6: Final answer
    x = 510.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.