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Finding the Fourth Proportional to 472.32, 652.19 and 306.82

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Solution

The fourth proportional to 472.32, 652.19 and 306.82 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 652.19 = 306.82 : x
  2. Step 2: Convert to fraction form
    472.32/652.19 = 306.82/x
  3. Step 3: Cross multiply
    472.32x = 652.19 × 306.82
  4. Step 4: Simplify right side
    472.32x = 200,101.67
  5. Step 5: Solve for x
    x = 200,101.67/472.32
  6. Step 6: Final answer
    x = 423.66

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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.