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Finding the Fourth Proportional to 562.69, 843.51 and 288.17

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Solution

The fourth proportional to 562.69, 843.51 and 288.17 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 843.51 = 288.17 : x
  2. Step 2: Convert to fraction form
    562.69/843.51 = 288.17/x
  3. Step 3: Cross multiply
    562.69x = 843.51 × 288.17
  4. Step 4: Simplify right side
    562.69x = 243,072.84
  5. Step 5: Solve for x
    x = 243,072.84/562.69
  6. Step 6: Final answer
    x = 431.99

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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.