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Finding the Fourth Proportional to 545.13, 815.90 and 339.85

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Solution

The fourth proportional to 545.13, 815.90 and 339.85 is: 508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.13 : 815.90 = 339.85 : x
  2. Step 2: Convert to fraction form
    545.13/815.90 = 339.85/x
  3. Step 3: Cross multiply
    545.13x = 815.90 × 339.85
  4. Step 4: Simplify right side
    545.13x = 277,281.92
  5. Step 5: Solve for x
    x = 277,281.92/545.13
  6. Step 6: Final answer
    x = 508.65

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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.