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Finding the Fourth Proportional to 587.85, 811.24 and 366.80

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Solution

The fourth proportional to 587.85, 811.24 and 366.80 is: 506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.85 : 811.24 = 366.80 : x
  2. Step 2: Convert to fraction form
    587.85/811.24 = 366.80/x
  3. Step 3: Cross multiply
    587.85x = 811.24 × 366.80
  4. Step 4: Simplify right side
    587.85x = 297,562.83
  5. Step 5: Solve for x
    x = 297,562.83/587.85
  6. Step 6: Final answer
    x = 506.19

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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.