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Finding the Fourth Proportional to 600.88, 901.52 and 312.52

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Solution

The fourth proportional to 600.88, 901.52 and 312.52 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.88 : 901.52 = 312.52 : x
  2. Step 2: Convert to fraction form
    600.88/901.52 = 312.52/x
  3. Step 3: Cross multiply
    600.88x = 901.52 × 312.52
  4. Step 4: Simplify right side
    600.88x = 281,743.03
  5. Step 5: Solve for x
    x = 281,743.03/600.88
  6. Step 6: Final answer
    x = 468.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.