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Finding the Fourth Proportional to 587.48, 809.82 and 521.96

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Solution

The fourth proportional to 587.48, 809.82 and 521.96 is: 719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.48 : 809.82 = 521.96 : x
  2. Step 2: Convert to fraction form
    587.48/809.82 = 521.96/x
  3. Step 3: Cross multiply
    587.48x = 809.82 × 521.96
  4. Step 4: Simplify right side
    587.48x = 422,693.65
  5. Step 5: Solve for x
    x = 422,693.65/587.48
  6. Step 6: Final answer
    x = 719.50

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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.