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Finding the Fourth Proportional to 588.46, 811.95 and 399.48

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Solution

The fourth proportional to 588.46, 811.95 and 399.48 is: 551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.46 : 811.95 = 399.48 : x
  2. Step 2: Convert to fraction form
    588.46/811.95 = 399.48/x
  3. Step 3: Cross multiply
    588.46x = 811.95 × 399.48
  4. Step 4: Simplify right side
    588.46x = 324,357.79
  5. Step 5: Solve for x
    x = 324,357.79/588.46
  6. Step 6: Final answer
    x = 551.20

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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.