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Finding the Fourth Proportional to 392.00, 588.28 and 315.88

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Solution

The fourth proportional to 392.00, 588.28 and 315.88 is: 474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.00 : 588.28 = 315.88 : x
  2. Step 2: Convert to fraction form
    392.00/588.28 = 315.88/x
  3. Step 3: Cross multiply
    392.00x = 588.28 × 315.88
  4. Step 4: Simplify right side
    392.00x = 185,828.71
  5. Step 5: Solve for x
    x = 185,828.71/392.00
  6. Step 6: Final answer
    x = 474.05

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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.