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Finding the Fourth Proportional to 632.14, 872.10 and 399.34

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Solution

The fourth proportional to 632.14, 872.10 and 399.34 is: 550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.14 : 872.10 = 399.34 : x
  2. Step 2: Convert to fraction form
    632.14/872.10 = 399.34/x
  3. Step 3: Cross multiply
    632.14x = 872.10 × 399.34
  4. Step 4: Simplify right side
    632.14x = 348,264.41
  5. Step 5: Solve for x
    x = 348,264.41/632.14
  6. Step 6: Final answer
    x = 550.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.