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Finding the Fourth Proportional to 632.48, 872.91 and 412.02

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Solution

The fourth proportional to 632.48, 872.91 and 412.02 is: 568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.48 : 872.91 = 412.02 : x
  2. Step 2: Convert to fraction form
    632.48/872.91 = 412.02/x
  3. Step 3: Cross multiply
    632.48x = 872.91 × 412.02
  4. Step 4: Simplify right side
    632.48x = 359,656.38
  5. Step 5: Solve for x
    x = 359,656.38/632.48
  6. Step 6: Final answer
    x = 568.65

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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.