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Finding the Fourth Proportional to 534.96, 738.16 and 313.84

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Solution

The fourth proportional to 534.96, 738.16 and 313.84 is: 433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.96 : 738.16 = 313.84 : x
  2. Step 2: Convert to fraction form
    534.96/738.16 = 313.84/x
  3. Step 3: Cross multiply
    534.96x = 738.16 × 313.84
  4. Step 4: Simplify right side
    534.96x = 231,664.13
  5. Step 5: Solve for x
    x = 231,664.13/534.96
  6. Step 6: Final answer
    x = 433.05

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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.