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Finding the Fourth Proportional to 582.20, 872.68 and 192.10

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Solution

The fourth proportional to 582.20, 872.68 and 192.10 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.20 : 872.68 = 192.10 : x
  2. Step 2: Convert to fraction form
    582.20/872.68 = 192.10/x
  3. Step 3: Cross multiply
    582.20x = 872.68 × 192.10
  4. Step 4: Simplify right side
    582.20x = 167,641.83
  5. Step 5: Solve for x
    x = 167,641.83/582.20
  6. Step 6: Final answer
    x = 287.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.