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Finding the Fourth Proportional to 472.25, 652.01 and 362.30

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Solution

The fourth proportional to 472.25, 652.01 and 362.30 is: 500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 652.01 = 362.30 : x
  2. Step 2: Convert to fraction form
    472.25/652.01 = 362.30/x
  3. Step 3: Cross multiply
    472.25x = 652.01 × 362.30
  4. Step 4: Simplify right side
    472.25x = 236,221.41
  5. Step 5: Solve for x
    x = 236,221.41/472.25
  6. Step 6: Final answer
    x = 500.20

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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.