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Finding the Fourth Proportional to 534.14, 737.06 and 301.22

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Solution

The fourth proportional to 534.14, 737.06 and 301.22 is: 415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.14 : 737.06 = 301.22 : x
  2. Step 2: Convert to fraction form
    534.14/737.06 = 301.22/x
  3. Step 3: Cross multiply
    534.14x = 737.06 × 301.22
  4. Step 4: Simplify right side
    534.14x = 222,017.21
  5. Step 5: Solve for x
    x = 222,017.21/534.14
  6. Step 6: Final answer
    x = 415.65

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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.