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Finding the Fourth Proportional to 587.44, 800.56 and 585.28

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Solution

The fourth proportional to 587.44, 800.56 and 585.28 is: 797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.44 : 800.56 = 585.28 : x
  2. Step 2: Convert to fraction form
    587.44/800.56 = 585.28/x
  3. Step 3: Cross multiply
    587.44x = 800.56 × 585.28
  4. Step 4: Simplify right side
    587.44x = 468,551.76
  5. Step 5: Solve for x
    x = 468,551.76/587.44
  6. Step 6: Final answer
    x = 797.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.