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Finding the Fourth Proportional to 466.53, 699.84 and 174.10

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Solution

The fourth proportional to 466.53, 699.84 and 174.10 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.53 : 699.84 = 174.10 : x
  2. Step 2: Convert to fraction form
    466.53/699.84 = 174.10/x
  3. Step 3: Cross multiply
    466.53x = 699.84 × 174.10
  4. Step 4: Simplify right side
    466.53x = 121,842.14
  5. Step 5: Solve for x
    x = 121,842.14/466.53
  6. Step 6: Final answer
    x = 261.17

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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.