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Finding the Fourth Proportional to 632.68, 873.13 and 352.95

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Solution

The fourth proportional to 632.68, 873.13 and 352.95 is: 487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 873.13 = 352.95 : x
  2. Step 2: Convert to fraction form
    632.68/873.13 = 352.95/x
  3. Step 3: Cross multiply
    632.68x = 873.13 × 352.95
  4. Step 4: Simplify right side
    632.68x = 308,169.47
  5. Step 5: Solve for x
    x = 308,169.47/632.68
  6. Step 6: Final answer
    x = 487.09

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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.