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Finding the Fourth Proportional to 438.90, 605.66 and 264.34

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Solution

The fourth proportional to 438.90, 605.66 and 264.34 is: 364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.90 : 605.66 = 264.34 : x
  2. Step 2: Convert to fraction form
    438.90/605.66 = 264.34/x
  3. Step 3: Cross multiply
    438.90x = 605.66 × 264.34
  4. Step 4: Simplify right side
    438.90x = 160,100.16
  5. Step 5: Solve for x
    x = 160,100.16/438.90
  6. Step 6: Final answer
    x = 364.78

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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.