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Finding the Fourth Proportional to 466.41, 699.72 and 174

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Solution

The fourth proportional to 466.41, 699.72 and 174 is: 261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.41 : 699.72 = 174 : x
  2. Step 2: Convert to fraction form
    466.41/699.72 = 174/x
  3. Step 3: Cross multiply
    466.41x = 699.72 × 174
  4. Step 4: Simplify right side
    466.41x = 121,750.41
  5. Step 5: Solve for x
    x = 121,750.41/466.41
  6. Step 6: Final answer
    x = 261.04

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