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Finding the Fourth Proportional to 438.84, 605.52 and 264.24

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Solution

The fourth proportional to 438.84, 605.52 and 264.24 is: 364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.84 : 605.52 = 264.24 : x
  2. Step 2: Convert to fraction form
    438.84/605.52 = 264.24/x
  3. Step 3: Cross multiply
    438.84x = 605.52 × 264.24
  4. Step 4: Simplify right side
    438.84x = 160,002.60
  5. Step 5: Solve for x
    x = 160,002.60/438.84
  6. Step 6: Final answer
    x = 364.60

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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.