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Finding the Fourth Proportional to 472.50, 652.14 and 329.04

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Solution

The fourth proportional to 472.50, 652.14 and 329.04 is: 454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 652.14 = 329.04 : x
  2. Step 2: Convert to fraction form
    472.50/652.14 = 329.04/x
  3. Step 3: Cross multiply
    472.50x = 652.14 × 329.04
  4. Step 4: Simplify right side
    472.50x = 214,580.15
  5. Step 5: Solve for x
    x = 214,580.15/472.50
  6. Step 6: Final answer
    x = 454.14

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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.