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Finding the Fourth Proportional to 466.39, 699.86 and 174.10

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Solution

The fourth proportional to 466.39, 699.86 and 174.10 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.39 : 699.86 = 174.10 : x
  2. Step 2: Convert to fraction form
    466.39/699.86 = 174.10/x
  3. Step 3: Cross multiply
    466.39x = 699.86 × 174.10
  4. Step 4: Simplify right side
    466.39x = 121,845.63
  5. Step 5: Solve for x
    x = 121,845.63/466.39
  6. Step 6: Final answer
    x = 261.25

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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.