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Finding the Fourth Proportional to 585.27, 800.15 and 562.59

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Solution

The fourth proportional to 585.27, 800.15 and 562.59 is: 769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.27 : 800.15 = 562.59 : x
  2. Step 2: Convert to fraction form
    585.27/800.15 = 562.59/x
  3. Step 3: Cross multiply
    585.27x = 800.15 × 562.59
  4. Step 4: Simplify right side
    585.27x = 450,153.58
  5. Step 5: Solve for x
    x = 450,153.58/585.27
  6. Step 6: Final answer
    x = 769.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.