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Finding the Fourth Proportional to 588.37, 811.50 and 366.91

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Solution

The fourth proportional to 588.37, 811.50 and 366.91 is: 506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.37 : 811.50 = 366.91 : x
  2. Step 2: Convert to fraction form
    588.37/811.50 = 366.91/x
  3. Step 3: Cross multiply
    588.37x = 811.50 × 366.91
  4. Step 4: Simplify right side
    588.37x = 297,747.47
  5. Step 5: Solve for x
    x = 297,747.47/588.37
  6. Step 6: Final answer
    x = 506.05

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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.