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Finding the Fourth Proportional to 378.64, 522.25 and 247.67

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Solution

The fourth proportional to 378.64, 522.25 and 247.67 is: 341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 522.25 = 247.67 : x
  2. Step 2: Convert to fraction form
    378.64/522.25 = 247.67/x
  3. Step 3: Cross multiply
    378.64x = 522.25 × 247.67
  4. Step 4: Simplify right side
    378.64x = 129,347.32
  5. Step 5: Solve for x
    x = 129,347.32/378.64
  6. Step 6: Final answer
    x = 341.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.