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Finding the Fourth Proportional to 392.17, 540.95 and 298.75

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Solution

The fourth proportional to 392.17, 540.95 and 298.75 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.17 : 540.95 = 298.75 : x
  2. Step 2: Convert to fraction form
    392.17/540.95 = 298.75/x
  3. Step 3: Cross multiply
    392.17x = 540.95 × 298.75
  4. Step 4: Simplify right side
    392.17x = 161,608.07
  5. Step 5: Solve for x
    x = 161,608.07/392.17
  6. Step 6: Final answer
    x = 412.09

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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.