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Finding the Fourth Proportional to 438.82, 605.16 and 299.14

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Solution

The fourth proportional to 438.82, 605.16 and 299.14 is: 412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.82 : 605.16 = 299.14 : x
  2. Step 2: Convert to fraction form
    438.82/605.16 = 299.14/x
  3. Step 3: Cross multiply
    438.82x = 605.16 × 299.14
  4. Step 4: Simplify right side
    438.82x = 181,026.05
  5. Step 5: Solve for x
    x = 181,026.05/438.82
  6. Step 6: Final answer
    x = 412.53

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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.