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Finding the Fourth Proportional to 466.32, 699.57 and 173.80

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Solution

The fourth proportional to 466.32, 699.57 and 173.80 is: 260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 699.57 = 173.80 : x
  2. Step 2: Convert to fraction form
    466.32/699.57 = 173.80/x
  3. Step 3: Cross multiply
    466.32x = 699.57 × 173.80
  4. Step 4: Simplify right side
    466.32x = 121,582.21
  5. Step 5: Solve for x
    x = 121,582.21/466.32
  6. Step 6: Final answer
    x = 260.72

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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.