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Finding the Fourth Proportional to 391.65, 584.02 and 388.13

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Solution

The fourth proportional to 391.65, 584.02 and 388.13 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.65 : 584.02 = 388.13 : x
  2. Step 2: Convert to fraction form
    391.65/584.02 = 388.13/x
  3. Step 3: Cross multiply
    391.65x = 584.02 × 388.13
  4. Step 4: Simplify right side
    391.65x = 226,676.36
  5. Step 5: Solve for x
    x = 226,676.36/391.65
  6. Step 6: Final answer
    x = 578.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.