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Finding the Fourth Proportional to 392.42, 541.66 and 350.90

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Solution

The fourth proportional to 392.42, 541.66 and 350.90 is: 484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.42 : 541.66 = 350.90 : x
  2. Step 2: Convert to fraction form
    392.42/541.66 = 350.90/x
  3. Step 3: Cross multiply
    392.42x = 541.66 × 350.90
  4. Step 4: Simplify right side
    392.42x = 190,065.79
  5. Step 5: Solve for x
    x = 190,065.79/392.42
  6. Step 6: Final answer
    x = 484.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.