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Finding the Fourth Proportional to 472.32, 708.16 and 243.84

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Solution

The fourth proportional to 472.32, 708.16 and 243.84 is: 365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 708.16 = 243.84 : x
  2. Step 2: Convert to fraction form
    472.32/708.16 = 243.84/x
  3. Step 3: Cross multiply
    472.32x = 708.16 × 243.84
  4. Step 4: Simplify right side
    472.32x = 172,677.73
  5. Step 5: Solve for x
    x = 172,677.73/472.32
  6. Step 6: Final answer
    x = 365.59

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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.