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Finding the Fourth Proportional to 545.76, 753.03 and 349.56

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Solution

The fourth proportional to 545.76, 753.03 and 349.56 is: 482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 753.03 = 349.56 : x
  2. Step 2: Convert to fraction form
    545.76/753.03 = 349.56/x
  3. Step 3: Cross multiply
    545.76x = 753.03 × 349.56
  4. Step 4: Simplify right side
    545.76x = 263,229.17
  5. Step 5: Solve for x
    x = 263,229.17/545.76
  6. Step 6: Final answer
    x = 482.32

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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.