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Finding the Fourth Proportional to 652.57, 901.34 and 475.25

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Solution

The fourth proportional to 652.57, 901.34 and 475.25 is: 656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.57 : 901.34 = 475.25 : x
  2. Step 2: Convert to fraction form
    652.57/901.34 = 475.25/x
  3. Step 3: Cross multiply
    652.57x = 901.34 × 475.25
  4. Step 4: Simplify right side
    652.57x = 428,361.84
  5. Step 5: Solve for x
    x = 428,361.84/652.57
  6. Step 6: Final answer
    x = 656.42

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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.