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Finding the Fourth Proportional to 472.56, 653.04 and 385.20

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Solution

The fourth proportional to 472.56, 653.04 and 385.20 is: 532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 653.04 = 385.20 : x
  2. Step 2: Convert to fraction form
    472.56/653.04 = 385.20/x
  3. Step 3: Cross multiply
    472.56x = 653.04 × 385.20
  4. Step 4: Simplify right side
    472.56x = 251,551.01
  5. Step 5: Solve for x
    x = 251,551.01/472.56
  6. Step 6: Final answer
    x = 532.32

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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.