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Finding the Fourth Proportional to 392.46, 585.09 and 374.01

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Solution

The fourth proportional to 392.46, 585.09 and 374.01 is: 557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.46 : 585.09 = 374.01 : x
  2. Step 2: Convert to fraction form
    392.46/585.09 = 374.01/x
  3. Step 3: Cross multiply
    392.46x = 585.09 × 374.01
  4. Step 4: Simplify right side
    392.46x = 218,828.91
  5. Step 5: Solve for x
    x = 218,828.91/392.46
  6. Step 6: Final answer
    x = 557.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.