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Finding the Fourth Proportional to 588.61, 811.92 and 367.48

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Solution

The fourth proportional to 588.61, 811.92 and 367.48 is: 506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.61 : 811.92 = 367.48 : x
  2. Step 2: Convert to fraction form
    588.61/811.92 = 367.48/x
  3. Step 3: Cross multiply
    588.61x = 811.92 × 367.48
  4. Step 4: Simplify right side
    588.61x = 298,364.36
  5. Step 5: Solve for x
    x = 298,364.36/588.61
  6. Step 6: Final answer
    x = 506.90

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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.