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Finding the Fourth Proportional to 534.62, 737.75 and 298.56

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Solution

The fourth proportional to 534.62, 737.75 and 298.56 is: 412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.62 : 737.75 = 298.56 : x
  2. Step 2: Convert to fraction form
    534.62/737.75 = 298.56/x
  3. Step 3: Cross multiply
    534.62x = 737.75 × 298.56
  4. Step 4: Simplify right side
    534.62x = 220,263.24
  5. Step 5: Solve for x
    x = 220,263.24/534.62
  6. Step 6: Final answer
    x = 412.00

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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.