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Finding the Fourth Proportional to 438.76, 605.70 and 301.48

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Solution

The fourth proportional to 438.76, 605.70 and 301.48 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.76 : 605.70 = 301.48 : x
  2. Step 2: Convert to fraction form
    438.76/605.70 = 301.48/x
  3. Step 3: Cross multiply
    438.76x = 605.70 × 301.48
  4. Step 4: Simplify right side
    438.76x = 182,606.44
  5. Step 5: Solve for x
    x = 182,606.44/438.76
  6. Step 6: Final answer
    x = 416.19

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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.