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Finding the Fourth Proportional to 466.48, 699.90 and 249.94

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Solution

The fourth proportional to 466.48, 699.90 and 249.94 is: 375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.48 : 699.90 = 249.94 : x
  2. Step 2: Convert to fraction form
    466.48/699.90 = 249.94/x
  3. Step 3: Cross multiply
    466.48x = 699.90 × 249.94
  4. Step 4: Simplify right side
    466.48x = 174,933.01
  5. Step 5: Solve for x
    x = 174,933.01/466.48
  6. Step 6: Final answer
    x = 375.01

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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.