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Finding the Fourth Proportional to 632.18, 872.34 and 370.20

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Solution

The fourth proportional to 632.18, 872.34 and 370.20 is: 510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.18 : 872.34 = 370.20 : x
  2. Step 2: Convert to fraction form
    632.18/872.34 = 370.20/x
  3. Step 3: Cross multiply
    632.18x = 872.34 × 370.20
  4. Step 4: Simplify right side
    632.18x = 322,940.27
  5. Step 5: Solve for x
    x = 322,940.27/632.18
  6. Step 6: Final answer
    x = 510.84

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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.