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Finding the Fourth Proportional to 562.79, 844.16 and 288.78

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Solution

The fourth proportional to 562.79, 844.16 and 288.78 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.79 : 844.16 = 288.78 : x
  2. Step 2: Convert to fraction form
    562.79/844.16 = 288.78/x
  3. Step 3: Cross multiply
    562.79x = 844.16 × 288.78
  4. Step 4: Simplify right side
    562.79x = 243,775.08
  5. Step 5: Solve for x
    x = 243,775.08/562.79
  6. Step 6: Final answer
    x = 433.16

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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.