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Finding the Fourth Proportional to 457.17, 630.87 and 270.66

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Solution

The fourth proportional to 457.17, 630.87 and 270.66 is: 373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.17 : 630.87 = 270.66 : x
  2. Step 2: Convert to fraction form
    457.17/630.87 = 270.66/x
  3. Step 3: Cross multiply
    457.17x = 630.87 × 270.66
  4. Step 4: Simplify right side
    457.17x = 170,751.27
  5. Step 5: Solve for x
    x = 170,751.27/457.17
  6. Step 6: Final answer
    x = 373.50

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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.