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Finding the Fourth Proportional to 650.32, 974.44 and 476.18

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Solution

The fourth proportional to 650.32, 974.44 and 476.18 is: 713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.32 : 974.44 = 476.18 : x
  2. Step 2: Convert to fraction form
    650.32/974.44 = 476.18/x
  3. Step 3: Cross multiply
    650.32x = 974.44 × 476.18
  4. Step 4: Simplify right side
    650.32x = 464,008.84
  5. Step 5: Solve for x
    x = 464,008.84/650.32
  6. Step 6: Final answer
    x = 713.51

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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.