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Finding the Fourth Proportional to 534.99, 738.26 and 314.06

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Solution

The fourth proportional to 534.99, 738.26 and 314.06 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.99 : 738.26 = 314.06 : x
  2. Step 2: Convert to fraction form
    534.99/738.26 = 314.06/x
  3. Step 3: Cross multiply
    534.99x = 738.26 × 314.06
  4. Step 4: Simplify right side
    534.99x = 231,852.67
  5. Step 5: Solve for x
    x = 231,852.67/534.99
  6. Step 6: Final answer
    x = 433.38

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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.