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Finding the Fourth Proportional to 392.42, 592.18 and 389.39

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Solution

The fourth proportional to 392.42, 592.18 and 389.39 is: 587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 592.18 = 389.39 : x
  2. Step 2: Convert to fraction form
    392.42/592.18 = 389.39/x
  3. Step 3: Cross multiply
    392.42x = 592.18 × 389.39
  4. Step 4: Simplify right side
    392.42x = 230,585.04
  5. Step 5: Solve for x
    x = 230,585.04/392.42
  6. Step 6: Final answer
    x = 587.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.