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Finding the Fourth Proportional to 587.80, 810.32 and 391.24

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Solution

The fourth proportional to 587.80, 810.32 and 391.24 is: 539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.80 : 810.32 = 391.24 : x
  2. Step 2: Convert to fraction form
    587.80/810.32 = 391.24/x
  3. Step 3: Cross multiply
    587.80x = 810.32 × 391.24
  4. Step 4: Simplify right side
    587.80x = 317,029.60
  5. Step 5: Solve for x
    x = 317,029.60/587.80
  6. Step 6: Final answer
    x = 539.35

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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.