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Finding the Fourth Proportional to 632.22, 871.20 and 522.48

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Solution

The fourth proportional to 632.22, 871.20 and 522.48 is: 719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.22 : 871.20 = 522.48 : x
  2. Step 2: Convert to fraction form
    632.22/871.20 = 522.48/x
  3. Step 3: Cross multiply
    632.22x = 871.20 × 522.48
  4. Step 4: Simplify right side
    632.22x = 455,184.58
  5. Step 5: Solve for x
    x = 455,184.58/632.22
  6. Step 6: Final answer
    x = 719.98

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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.