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Finding the Fourth Proportional to 392.65, 542.18 and 268.67

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Solution

The fourth proportional to 392.65, 542.18 and 268.67 is: 370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.65 : 542.18 = 268.67 : x
  2. Step 2: Convert to fraction form
    392.65/542.18 = 268.67/x
  3. Step 3: Cross multiply
    392.65x = 542.18 × 268.67
  4. Step 4: Simplify right side
    392.65x = 145,669.53
  5. Step 5: Solve for x
    x = 145,669.53/392.65
  6. Step 6: Final answer
    x = 370.99

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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.