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Finding the Fourth Proportional to 632.94, 872.82 and 384.22

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Solution

The fourth proportional to 632.94, 872.82 and 384.22 is: 529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.94 : 872.82 = 384.22 : x
  2. Step 2: Convert to fraction form
    632.94/872.82 = 384.22/x
  3. Step 3: Cross multiply
    632.94x = 872.82 × 384.22
  4. Step 4: Simplify right side
    632.94x = 335,354.90
  5. Step 5: Solve for x
    x = 335,354.90/632.94
  6. Step 6: Final answer
    x = 529.84

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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.