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Finding the Fourth Proportional to 466.67, 700.41 and 261.38

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Solution

The fourth proportional to 466.67, 700.41 and 261.38 is: 392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.67 : 700.41 = 261.38 : x
  2. Step 2: Convert to fraction form
    466.67/700.41 = 261.38/x
  3. Step 3: Cross multiply
    466.67x = 700.41 × 261.38
  4. Step 4: Simplify right side
    466.67x = 183,073.17
  5. Step 5: Solve for x
    x = 183,073.17/466.67
  6. Step 6: Final answer
    x = 392.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.