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Finding the Fourth Proportional to 472.53, 652.71 and 324.91

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Solution

The fourth proportional to 472.53, 652.71 and 324.91 is: 448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 652.71 = 324.91 : x
  2. Step 2: Convert to fraction form
    472.53/652.71 = 324.91/x
  3. Step 3: Cross multiply
    472.53x = 652.71 × 324.91
  4. Step 4: Simplify right side
    472.53x = 212,067.12
  5. Step 5: Solve for x
    x = 212,067.12/472.53
  6. Step 6: Final answer
    x = 448.79

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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.