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Finding the Fourth Proportional to 417.20, 624.84 and 243.52

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Solution

The fourth proportional to 417.20, 624.84 and 243.52 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 624.84 = 243.52 : x
  2. Step 2: Convert to fraction form
    417.20/624.84 = 243.52/x
  3. Step 3: Cross multiply
    417.20x = 624.84 × 243.52
  4. Step 4: Simplify right side
    417.20x = 152,161.04
  5. Step 5: Solve for x
    x = 152,161.04/417.20
  6. Step 6: Final answer
    x = 364.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.