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Finding the Fourth Proportional to 392.54, 540.84 and 268.16

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Solution

The fourth proportional to 392.54, 540.84 and 268.16 is: 369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.54 : 540.84 = 268.16 : x
  2. Step 2: Convert to fraction form
    392.54/540.84 = 268.16/x
  3. Step 3: Cross multiply
    392.54x = 540.84 × 268.16
  4. Step 4: Simplify right side
    392.54x = 145,031.65
  5. Step 5: Solve for x
    x = 145,031.65/392.54
  6. Step 6: Final answer
    x = 369.47

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