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Finding the Fourth Proportional to 545.52, 753.10 and 349.36

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Solution

The fourth proportional to 545.52, 753.10 and 349.36 is: 482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.52 : 753.10 = 349.36 : x
  2. Step 2: Convert to fraction form
    545.52/753.10 = 349.36/x
  3. Step 3: Cross multiply
    545.52x = 753.10 × 349.36
  4. Step 4: Simplify right side
    545.52x = 263,103.02
  5. Step 5: Solve for x
    x = 263,103.02/545.52
  6. Step 6: Final answer
    x = 482.30

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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.