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Finding the Fourth Proportional to 632.28, 947.64 and 306.96

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Solution

The fourth proportional to 632.28, 947.64 and 306.96 is: 460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.28 : 947.64 = 306.96 : x
  2. Step 2: Convert to fraction form
    632.28/947.64 = 306.96/x
  3. Step 3: Cross multiply
    632.28x = 947.64 × 306.96
  4. Step 4: Simplify right side
    632.28x = 290,887.57
  5. Step 5: Solve for x
    x = 290,887.57/632.28
  6. Step 6: Final answer
    x = 460.06

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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.