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Finding the Fourth Proportional to 466.58, 699.79 and 124.50

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Solution

The fourth proportional to 466.58, 699.79 and 124.50 is: 186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.58 : 699.79 = 124.50 : x
  2. Step 2: Convert to fraction form
    466.58/699.79 = 124.50/x
  3. Step 3: Cross multiply
    466.58x = 699.79 × 124.50
  4. Step 4: Simplify right side
    466.58x = 87,123.86
  5. Step 5: Solve for x
    x = 87,123.86/466.58
  6. Step 6: Final answer
    x = 186.73

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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.