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Finding the Fourth Proportional to 392.74, 588.57 and 284.02

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Solution

The fourth proportional to 392.74, 588.57 and 284.02 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.74 : 588.57 = 284.02 : x
  2. Step 2: Convert to fraction form
    392.74/588.57 = 284.02/x
  3. Step 3: Cross multiply
    392.74x = 588.57 × 284.02
  4. Step 4: Simplify right side
    392.74x = 167,165.65
  5. Step 5: Solve for x
    x = 167,165.65/392.74
  6. Step 6: Final answer
    x = 425.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.