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Finding the Fourth Proportional to 950.35, 1,425.38 and 301

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Solution

The fourth proportional to 950.35, 1,425.38 and 301 is: 451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.35 : 1,425.38 = 301 : x
  2. Step 2: Convert to fraction form
    950.35/1,425.38 = 301/x
  3. Step 3: Cross multiply
    950.35x = 1,425.38 × 301
  4. Step 4: Simplify right side
    950.35x = 429,040.13
  5. Step 5: Solve for x
    x = 429,040.13/950.35
  6. Step 6: Final answer
    x = 451.45

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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.