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Finding the Fourth Proportional to 466.32, 699.54 and 173.82

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Solution

The fourth proportional to 466.32, 699.54 and 173.82 is: 260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 699.54 = 173.82 : x
  2. Step 2: Convert to fraction form
    466.32/699.54 = 173.82/x
  3. Step 3: Cross multiply
    466.32x = 699.54 × 173.82
  4. Step 4: Simplify right side
    466.32x = 121,594.04
  5. Step 5: Solve for x
    x = 121,594.04/466.32
  6. Step 6: Final answer
    x = 260.75

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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.