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Finding the Fourth Proportional to 632.47, 872.84 and 352.74

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Solution

The fourth proportional to 632.47, 872.84 and 352.74 is: 486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.47 : 872.84 = 352.74 : x
  2. Step 2: Convert to fraction form
    632.47/872.84 = 352.74/x
  3. Step 3: Cross multiply
    632.47x = 872.84 × 352.74
  4. Step 4: Simplify right side
    632.47x = 307,885.58
  5. Step 5: Solve for x
    x = 307,885.58/632.47
  6. Step 6: Final answer
    x = 486.80

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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.