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Finding the Fourth Proportional to 494.19, 741.29 and 378.84

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Solution

The fourth proportional to 494.19, 741.29 and 378.84 is: 568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.19 : 741.29 = 378.84 : x
  2. Step 2: Convert to fraction form
    494.19/741.29 = 378.84/x
  3. Step 3: Cross multiply
    494.19x = 741.29 × 378.84
  4. Step 4: Simplify right side
    494.19x = 280,831.25
  5. Step 5: Solve for x
    x = 280,831.25/494.19
  6. Step 6: Final answer
    x = 568.27

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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.