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Finding the Fourth Proportional to 537.76, 742.20 and 313.82

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Solution

The fourth proportional to 537.76, 742.20 and 313.82 is: 433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 742.20 = 313.82 : x
  2. Step 2: Convert to fraction form
    537.76/742.20 = 313.82/x
  3. Step 3: Cross multiply
    537.76x = 742.20 × 313.82
  4. Step 4: Simplify right side
    537.76x = 232,917.20
  5. Step 5: Solve for x
    x = 232,917.20/537.76
  6. Step 6: Final answer
    x = 433.12

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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.