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Finding the Fourth Proportional to 534.96, 738.17 and 313.86

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Solution

The fourth proportional to 534.96, 738.17 and 313.86 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.96 : 738.17 = 313.86 : x
  2. Step 2: Convert to fraction form
    534.96/738.17 = 313.86/x
  3. Step 3: Cross multiply
    534.96x = 738.17 × 313.86
  4. Step 4: Simplify right side
    534.96x = 231,680.47
  5. Step 5: Solve for x
    x = 231,680.47/534.96
  6. Step 6: Final answer
    x = 433.08

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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.