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Finding the Fourth Proportional to 466.59, 699.39 and 235.11

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Solution

The fourth proportional to 466.59, 699.39 and 235.11 is: 352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.59 : 699.39 = 235.11 : x
  2. Step 2: Convert to fraction form
    466.59/699.39 = 235.11/x
  3. Step 3: Cross multiply
    466.59x = 699.39 × 235.11
  4. Step 4: Simplify right side
    466.59x = 164,433.58
  5. Step 5: Solve for x
    x = 164,433.58/466.59
  6. Step 6: Final answer
    x = 352.42

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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.