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Finding the Fourth Proportional to 494.16, 741.64 and 250.75

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Solution

The fourth proportional to 494.16, 741.64 and 250.75 is: 376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 741.64 = 250.75 : x
  2. Step 2: Convert to fraction form
    494.16/741.64 = 250.75/x
  3. Step 3: Cross multiply
    494.16x = 741.64 × 250.75
  4. Step 4: Simplify right side
    494.16x = 185,966.53
  5. Step 5: Solve for x
    x = 185,966.53/494.16
  6. Step 6: Final answer
    x = 376.33

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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.