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Finding the Fourth Proportional to 438.64, 605.38 and 264.08

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Solution

The fourth proportional to 438.64, 605.38 and 264.08 is: 364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.64 : 605.38 = 264.08 : x
  2. Step 2: Convert to fraction form
    438.64/605.38 = 264.08/x
  3. Step 3: Cross multiply
    438.64x = 605.38 × 264.08
  4. Step 4: Simplify right side
    438.64x = 159,868.75
  5. Step 5: Solve for x
    x = 159,868.75/438.64
  6. Step 6: Final answer
    x = 364.46

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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.