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Finding the Fourth Proportional to 534.66, 737.85 and 301.79

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Solution

The fourth proportional to 534.66, 737.85 and 301.79 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 737.85 = 301.79 : x
  2. Step 2: Convert to fraction form
    534.66/737.85 = 301.79/x
  3. Step 3: Cross multiply
    534.66x = 737.85 × 301.79
  4. Step 4: Simplify right side
    534.66x = 222,675.75
  5. Step 5: Solve for x
    x = 222,675.75/534.66
  6. Step 6: Final answer
    x = 416.48

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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.