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Finding the Fourth Proportional to 392.64, 588.69 and 210

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Solution

The fourth proportional to 392.64, 588.69 and 210 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 588.69 = 210 : x
  2. Step 2: Convert to fraction form
    392.64/588.69 = 210/x
  3. Step 3: Cross multiply
    392.64x = 588.69 × 210
  4. Step 4: Simplify right side
    392.64x = 123,624.90
  5. Step 5: Solve for x
    x = 123,624.90/392.64
  6. Step 6: Final answer
    x = 314.86

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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.