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Finding the Fourth Proportional to 601.28, 901.73 and 312.56

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Solution

The fourth proportional to 601.28, 901.73 and 312.56 is: 468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.28 : 901.73 = 312.56 : x
  2. Step 2: Convert to fraction form
    601.28/901.73 = 312.56/x
  3. Step 3: Cross multiply
    601.28x = 901.73 × 312.56
  4. Step 4: Simplify right side
    601.28x = 281,844.73
  5. Step 5: Solve for x
    x = 281,844.73/601.28
  6. Step 6: Final answer
    x = 468.74

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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.