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Finding the Fourth Proportional to 472.66, 652.41 and 306.89

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Solution

The fourth proportional to 472.66, 652.41 and 306.89 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.66 : 652.41 = 306.89 : x
  2. Step 2: Convert to fraction form
    472.66/652.41 = 306.89/x
  3. Step 3: Cross multiply
    472.66x = 652.41 × 306.89
  4. Step 4: Simplify right side
    472.66x = 200,218.10
  5. Step 5: Solve for x
    x = 200,218.10/472.66
  6. Step 6: Final answer
    x = 423.60

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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.