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Finding the Fourth Proportional to 534.68, 737.85 and 298.63

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Solution

The fourth proportional to 534.68, 737.85 and 298.63 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.68 : 737.85 = 298.63 : x
  2. Step 2: Convert to fraction form
    534.68/737.85 = 298.63/x
  3. Step 3: Cross multiply
    534.68x = 737.85 × 298.63
  4. Step 4: Simplify right side
    534.68x = 220,344.15
  5. Step 5: Solve for x
    x = 220,344.15/534.68
  6. Step 6: Final answer
    x = 412.10

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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.