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Finding the Fourth Proportional to 534.99, 738.29 and 298.95

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Solution

The fourth proportional to 534.99, 738.29 and 298.95 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.99 : 738.29 = 298.95 : x
  2. Step 2: Convert to fraction form
    534.99/738.29 = 298.95/x
  3. Step 3: Cross multiply
    534.99x = 738.29 × 298.95
  4. Step 4: Simplify right side
    534.99x = 220,714.12
  5. Step 5: Solve for x
    x = 220,714.12/534.99
  6. Step 6: Final answer
    x = 412.56

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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.