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Finding the Fourth Proportional to 562.97, 842.94 and 288.99

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Solution

The fourth proportional to 562.97, 842.94 and 288.99 is: 432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.97 : 842.94 = 288.99 : x
  2. Step 2: Convert to fraction form
    562.97/842.94 = 288.99/x
  3. Step 3: Cross multiply
    562.97x = 842.94 × 288.99
  4. Step 4: Simplify right side
    562.97x = 243,601.23
  5. Step 5: Solve for x
    x = 243,601.23/562.97
  6. Step 6: Final answer
    x = 432.71

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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.