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Finding the Fourth Proportional to 462.26, 637.84 and 275.74

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Solution

The fourth proportional to 462.26, 637.84 and 275.74 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 637.84 = 275.74 : x
  2. Step 2: Convert to fraction form
    462.26/637.84 = 275.74/x
  3. Step 3: Cross multiply
    462.26x = 637.84 × 275.74
  4. Step 4: Simplify right side
    462.26x = 175,878.00
  5. Step 5: Solve for x
    x = 175,878.00/462.26
  6. Step 6: Final answer
    x = 380.47

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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.