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Finding the Fourth Proportional to 601.64, 901.92 and 312.74

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Solution

The fourth proportional to 601.64, 901.92 and 312.74 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.64 : 901.92 = 312.74 : x
  2. Step 2: Convert to fraction form
    601.64/901.92 = 312.74/x
  3. Step 3: Cross multiply
    601.64x = 901.92 × 312.74
  4. Step 4: Simplify right side
    601.64x = 282,066.46
  5. Step 5: Solve for x
    x = 282,066.46/601.64
  6. Step 6: Final answer
    x = 468.83

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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.