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Finding the Fourth Proportional to 534.99, 738.26 and 313.93

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Solution

The fourth proportional to 534.99, 738.26 and 313.93 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.99 : 738.26 = 313.93 : x
  2. Step 2: Convert to fraction form
    534.99/738.26 = 313.93/x
  3. Step 3: Cross multiply
    534.99x = 738.26 × 313.93
  4. Step 4: Simplify right side
    534.99x = 231,761.96
  5. Step 5: Solve for x
    x = 231,761.96/534.99
  6. Step 6: Final answer
    x = 433.21

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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.