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Finding the Fourth Proportional to 392.45, 583.66 and 387.74

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Solution

The fourth proportional to 392.45, 583.66 and 387.74 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 583.66 = 387.74 : x
  2. Step 2: Convert to fraction form
    392.45/583.66 = 387.74/x
  3. Step 3: Cross multiply
    392.45x = 583.66 × 387.74
  4. Step 4: Simplify right side
    392.45x = 226,304.81
  5. Step 5: Solve for x
    x = 226,304.81/392.45
  6. Step 6: Final answer
    x = 576.65

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Why These Related Problems?

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