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Finding the Fourth Proportional to 632.67, 872.33 and 577.18

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Solution

The fourth proportional to 632.67, 872.33 and 577.18 is: 795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 872.33 = 577.18 : x
  2. Step 2: Convert to fraction form
    632.67/872.33 = 577.18/x
  3. Step 3: Cross multiply
    632.67x = 872.33 × 577.18
  4. Step 4: Simplify right side
    632.67x = 503,491.43
  5. Step 5: Solve for x
    x = 503,491.43/632.67
  6. Step 6: Final answer
    x = 795.82

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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.