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Finding the Fourth Proportional to 534.87, 738.12 and 313.80

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Solution

The fourth proportional to 534.87, 738.12 and 313.80 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.87 : 738.12 = 313.80 : x
  2. Step 2: Convert to fraction form
    534.87/738.12 = 313.80/x
  3. Step 3: Cross multiply
    534.87x = 738.12 × 313.80
  4. Step 4: Simplify right side
    534.87x = 231,622.06
  5. Step 5: Solve for x
    x = 231,622.06/534.87
  6. Step 6: Final answer
    x = 433.04

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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.