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Finding the Fourth Proportional to 472.56, 652.04 and 306.76

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Solution

The fourth proportional to 472.56, 652.04 and 306.76 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 652.04 = 306.76 : x
  2. Step 2: Convert to fraction form
    472.56/652.04 = 306.76/x
  3. Step 3: Cross multiply
    472.56x = 652.04 × 306.76
  4. Step 4: Simplify right side
    472.56x = 200,018.93
  5. Step 5: Solve for x
    x = 200,018.93/472.56
  6. Step 6: Final answer
    x = 423.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.