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Finding the Fourth Proportional to 494.07, 740.47 and 250.66

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Solution

The fourth proportional to 494.07, 740.47 and 250.66 is: 375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.07 : 740.47 = 250.66 : x
  2. Step 2: Convert to fraction form
    494.07/740.47 = 250.66/x
  3. Step 3: Cross multiply
    494.07x = 740.47 × 250.66
  4. Step 4: Simplify right side
    494.07x = 185,606.21
  5. Step 5: Solve for x
    x = 185,606.21/494.07
  6. Step 6: Final answer
    x = 375.67

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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.