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Finding the Fourth Proportional to 632.13, 872.50 and 383.46

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Solution

The fourth proportional to 632.13, 872.50 and 383.46 is: 529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.13 : 872.50 = 383.46 : x
  2. Step 2: Convert to fraction form
    632.13/872.50 = 383.46/x
  3. Step 3: Cross multiply
    632.13x = 872.50 × 383.46
  4. Step 4: Simplify right side
    632.13x = 334,568.85
  5. Step 5: Solve for x
    x = 334,568.85/632.13
  6. Step 6: Final answer
    x = 529.27

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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.