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Finding the Fourth Proportional to 632.26, 872.66 and 410.82

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Solution

The fourth proportional to 632.26, 872.66 and 410.82 is: 567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.26 : 872.66 = 410.82 : x
  2. Step 2: Convert to fraction form
    632.26/872.66 = 410.82/x
  3. Step 3: Cross multiply
    632.26x = 872.66 × 410.82
  4. Step 4: Simplify right side
    632.26x = 358,506.18
  5. Step 5: Solve for x
    x = 358,506.18/632.26
  6. Step 6: Final answer
    x = 567.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.