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Finding the Fourth Proportional to 438.66, 605.46 and 264.12

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Solution

The fourth proportional to 438.66, 605.46 and 264.12 is: 364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.66 : 605.46 = 264.12 : x
  2. Step 2: Convert to fraction form
    438.66/605.46 = 264.12/x
  3. Step 3: Cross multiply
    438.66x = 605.46 × 264.12
  4. Step 4: Simplify right side
    438.66x = 159,914.10
  5. Step 5: Solve for x
    x = 159,914.10/438.66
  6. Step 6: Final answer
    x = 364.55

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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.