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Finding the Fourth Proportional to 472.52, 652.07 and 324.89

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Solution

The fourth proportional to 472.52, 652.07 and 324.89 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.52 : 652.07 = 324.89 : x
  2. Step 2: Convert to fraction form
    472.52/652.07 = 324.89/x
  3. Step 3: Cross multiply
    472.52x = 652.07 × 324.89
  4. Step 4: Simplify right side
    472.52x = 211,853.46
  5. Step 5: Solve for x
    x = 211,853.46/472.52
  6. Step 6: Final answer
    x = 448.35

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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.