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Finding the Fourth Proportional to 587.86, 811.24 and 366.81

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Solution

The fourth proportional to 587.86, 811.24 and 366.81 is: 506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.86 : 811.24 = 366.81 : x
  2. Step 2: Convert to fraction form
    587.86/811.24 = 366.81/x
  3. Step 3: Cross multiply
    587.86x = 811.24 × 366.81
  4. Step 4: Simplify right side
    587.86x = 297,566.89
  5. Step 5: Solve for x
    x = 297,566.89/587.86
  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.