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Finding the Fourth Proportional to 950.37, 1,425.24 and 365.34

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Solution

The fourth proportional to 950.37, 1,425.24 and 365.34 is: 547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.37 : 1,425.24 = 365.34 : x
  2. Step 2: Convert to fraction form
    950.37/1,425.24 = 365.34/x
  3. Step 3: Cross multiply
    950.37x = 1,425.24 × 365.34
  4. Step 4: Simplify right side
    950.37x = 520,690.06
  5. Step 5: Solve for x
    x = 520,690.06/950.37
  6. Step 6: Final answer
    x = 547.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.