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Finding the Fourth Proportional to 392.84, 541.62 and 315.56

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Solution

The fourth proportional to 392.84, 541.62 and 315.56 is: 435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 541.62 = 315.56 : x
  2. Step 2: Convert to fraction form
    392.84/541.62 = 315.56/x
  3. Step 3: Cross multiply
    392.84x = 541.62 × 315.56
  4. Step 4: Simplify right side
    392.84x = 170,913.61
  5. Step 5: Solve for x
    x = 170,913.61/392.84
  6. Step 6: Final answer
    x = 435.07

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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.