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Finding the Fourth Proportional to 392.74, 541.53 and 282.16

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Solution

The fourth proportional to 392.74, 541.53 and 282.16 is: 389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.74 : 541.53 = 282.16 : x
  2. Step 2: Convert to fraction form
    392.74/541.53 = 282.16/x
  3. Step 3: Cross multiply
    392.74x = 541.53 × 282.16
  4. Step 4: Simplify right side
    392.74x = 152,798.10
  5. Step 5: Solve for x
    x = 152,798.10/392.74
  6. Step 6: Final answer
    x = 389.06

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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.