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Finding the Fourth Proportional to 632.25, 872.63 and 356.25

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Solution

The fourth proportional to 632.25, 872.63 and 356.25 is: 491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.25 : 872.63 = 356.25 : x
  2. Step 2: Convert to fraction form
    632.25/872.63 = 356.25/x
  3. Step 3: Cross multiply
    632.25x = 872.63 × 356.25
  4. Step 4: Simplify right side
    632.25x = 310,872.66
  5. Step 5: Solve for x
    x = 310,872.66/632.25
  6. Step 6: Final answer
    x = 491.69

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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.