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Finding the Fourth Proportional to 632.19, 872.42 and 370.16

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Solution

The fourth proportional to 632.19, 872.42 and 370.16 is: 510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.19 : 872.42 = 370.16 : x
  2. Step 2: Convert to fraction form
    632.19/872.42 = 370.16/x
  3. Step 3: Cross multiply
    632.19x = 872.42 × 370.16
  4. Step 4: Simplify right side
    632.19x = 322,934.99
  5. Step 5: Solve for x
    x = 322,934.99/632.19
  6. Step 6: Final answer
    x = 510.82

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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.