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Finding the Fourth Proportional to 545.50, 752.97 and 349.30

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Solution

The fourth proportional to 545.50, 752.97 and 349.30 is: 482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.50 : 752.97 = 349.30 : x
  2. Step 2: Convert to fraction form
    545.50/752.97 = 349.30/x
  3. Step 3: Cross multiply
    545.50x = 752.97 × 349.30
  4. Step 4: Simplify right side
    545.50x = 263,012.42
  5. Step 5: Solve for x
    x = 263,012.42/545.50
  6. Step 6: Final answer
    x = 482.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.