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Finding the Fourth Proportional to 950.01, 1,424.86 and 291.73

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Solution

The fourth proportional to 950.01, 1,424.86 and 291.73 is: 437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.01 : 1,424.86 = 291.73 : x
  2. Step 2: Convert to fraction form
    950.01/1,424.86 = 291.73/x
  3. Step 3: Cross multiply
    950.01x = 1,424.86 × 291.73
  4. Step 4: Simplify right side
    950.01x = 415,674.41
  5. Step 5: Solve for x
    x = 415,674.41/950.01
  6. Step 6: Final answer
    x = 437.55

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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.