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Finding the Fourth Proportional to 392.51, 588.53 and 245.90

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Solution

The fourth proportional to 392.51, 588.53 and 245.90 is: 368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.51 : 588.53 = 245.90 : x
  2. Step 2: Convert to fraction form
    392.51/588.53 = 245.90/x
  3. Step 3: Cross multiply
    392.51x = 588.53 × 245.90
  4. Step 4: Simplify right side
    392.51x = 144,721.61
  5. Step 5: Solve for x
    x = 144,721.61/392.51
  6. Step 6: Final answer
    x = 368.71

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