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Finding the Fourth Proportional to 392.84, 585.65 and 374.39

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Solution

The fourth proportional to 392.84, 585.65 and 374.39 is: 558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 585.65 = 374.39 : x
  2. Step 2: Convert to fraction form
    392.84/585.65 = 374.39/x
  3. Step 3: Cross multiply
    392.84x = 585.65 × 374.39
  4. Step 4: Simplify right side
    392.84x = 219,256.70
  5. Step 5: Solve for x
    x = 219,256.70/392.84
  6. Step 6: Final answer
    x = 558.13

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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.