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Finding the Fourth Proportional to 457.06, 685.36 and 274.40

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Solution

The fourth proportional to 457.06, 685.36 and 274.40 is: 411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.06 : 685.36 = 274.40 : x
  2. Step 2: Convert to fraction form
    457.06/685.36 = 274.40/x
  3. Step 3: Cross multiply
    457.06x = 685.36 × 274.40
  4. Step 4: Simplify right side
    457.06x = 188,062.78
  5. Step 5: Solve for x
    x = 188,062.78/457.06
  6. Step 6: Final answer
    x = 411.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.