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Finding the Fourth Proportional to 632.07, 872.67 and 383.84

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Solution

The fourth proportional to 632.07, 872.67 and 383.84 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.07 : 872.67 = 383.84 : x
  2. Step 2: Convert to fraction form
    632.07/872.67 = 383.84/x
  3. Step 3: Cross multiply
    632.07x = 872.67 × 383.84
  4. Step 4: Simplify right side
    632.07x = 334,966.00
  5. Step 5: Solve for x
    x = 334,966.00/632.07
  6. Step 6: Final answer
    x = 529.95

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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.