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Finding the Fourth Proportional to 466.35, 698.90 and 261.06

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Solution

The fourth proportional to 466.35, 698.90 and 261.06 is: 391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.35 : 698.90 = 261.06 : x
  2. Step 2: Convert to fraction form
    466.35/698.90 = 261.06/x
  3. Step 3: Cross multiply
    466.35x = 698.90 × 261.06
  4. Step 4: Simplify right side
    466.35x = 182,453.53
  5. Step 5: Solve for x
    x = 182,453.53/466.35
  6. Step 6: Final answer
    x = 391.24

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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.