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Finding the Fourth Proportional to 392.46, 588.99 and 210.01

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Solution

The fourth proportional to 392.46, 588.99 and 210.01 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.46 : 588.99 = 210.01 : x
  2. Step 2: Convert to fraction form
    392.46/588.99 = 210.01/x
  3. Step 3: Cross multiply
    392.46x = 588.99 × 210.01
  4. Step 4: Simplify right side
    392.46x = 123,693.10
  5. Step 5: Solve for x
    x = 123,693.10/392.46
  6. Step 6: Final answer
    x = 315.17

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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.