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Finding the Fourth Proportional to 587.32, 809.56 and 575.80

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Solution

The fourth proportional to 587.32, 809.56 and 575.80 is: 793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.32 : 809.56 = 575.80 : x
  2. Step 2: Convert to fraction form
    587.32/809.56 = 575.80/x
  3. Step 3: Cross multiply
    587.32x = 809.56 × 575.80
  4. Step 4: Simplify right side
    587.32x = 466,144.65
  5. Step 5: Solve for x
    x = 466,144.65/587.32
  6. Step 6: Final answer
    x = 793.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.