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Finding the Fourth Proportional to 545.23, 752.24 and 348.86

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Solution

The fourth proportional to 545.23, 752.24 and 348.86 is: 481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.23 : 752.24 = 348.86 : x
  2. Step 2: Convert to fraction form
    545.23/752.24 = 348.86/x
  3. Step 3: Cross multiply
    545.23x = 752.24 × 348.86
  4. Step 4: Simplify right side
    545.23x = 262,423.01
  5. Step 5: Solve for x
    x = 262,423.01/545.23
  6. Step 6: Final answer
    x = 481.31

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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.