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Finding the Fourth Proportional to 587.95, 811.31 and 366.82

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Solution

The fourth proportional to 587.95, 811.31 and 366.82 is: 506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.95 : 811.31 = 366.82 : x
  2. Step 2: Convert to fraction form
    587.95/811.31 = 366.82/x
  3. Step 3: Cross multiply
    587.95x = 811.31 × 366.82
  4. Step 4: Simplify right side
    587.95x = 297,600.87
  5. Step 5: Solve for x
    x = 297,600.87/587.95
  6. Step 6: Final answer
    x = 506.17

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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.