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Finding the Fourth Proportional to 545.91, 752.54 and 349.35

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Solution

The fourth proportional to 545.91, 752.54 and 349.35 is: 481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.91 : 752.54 = 349.35 : x
  2. Step 2: Convert to fraction form
    545.91/752.54 = 349.35/x
  3. Step 3: Cross multiply
    545.91x = 752.54 × 349.35
  4. Step 4: Simplify right side
    545.91x = 262,898.10
  5. Step 5: Solve for x
    x = 262,898.10/545.91
  6. Step 6: Final answer
    x = 481.58

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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.