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Finding the Fourth Proportional to 466.58, 699.77 and 232.09

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Solution

The fourth proportional to 466.58, 699.77 and 232.09 is: 348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.58 : 699.77 = 232.09 : x
  2. Step 2: Convert to fraction form
    466.58/699.77 = 232.09/x
  3. Step 3: Cross multiply
    466.58x = 699.77 × 232.09
  4. Step 4: Simplify right side
    466.58x = 162,408.45
  5. Step 5: Solve for x
    x = 162,408.45/466.58
  6. Step 6: Final answer
    x = 348.08

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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.