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Finding the Fourth Proportional to 534.58, 737.69 and 301.69

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Solution

The fourth proportional to 534.58, 737.69 and 301.69 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.58 : 737.69 = 301.69 : x
  2. Step 2: Convert to fraction form
    534.58/737.69 = 301.69/x
  3. Step 3: Cross multiply
    534.58x = 737.69 × 301.69
  4. Step 4: Simplify right side
    534.58x = 222,552.19
  5. Step 5: Solve for x
    x = 222,552.19/534.58
  6. Step 6: Final answer
    x = 416.31

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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.