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Finding the Fourth Proportional to 534.89, 738.02 and 313.82

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Solution

The fourth proportional to 534.89, 738.02 and 313.82 is: 433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.89 : 738.02 = 313.82 : x
  2. Step 2: Convert to fraction form
    534.89/738.02 = 313.82/x
  3. Step 3: Cross multiply
    534.89x = 738.02 × 313.82
  4. Step 4: Simplify right side
    534.89x = 231,608.07
  5. Step 5: Solve for x
    x = 231,608.07/534.89
  6. Step 6: Final answer
    x = 433.01

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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.