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Finding the Fourth Proportional to 632.18, 947.86 and 266.87

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Solution

The fourth proportional to 632.18, 947.86 and 266.87 is: 400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.18 : 947.86 = 266.87 : x
  2. Step 2: Convert to fraction form
    632.18/947.86 = 266.87/x
  3. Step 3: Cross multiply
    632.18x = 947.86 × 266.87
  4. Step 4: Simplify right side
    632.18x = 252,949.32
  5. Step 5: Solve for x
    x = 252,949.32/632.18
  6. Step 6: Final answer
    x = 400.13

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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.