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Finding the Fourth Proportional to 378.24, 522.24 and 245.65

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Solution

The fourth proportional to 378.24, 522.24 and 245.65 is: 339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 522.24 = 245.65 : x
  2. Step 2: Convert to fraction form
    378.24/522.24 = 245.65/x
  3. Step 3: Cross multiply
    378.24x = 522.24 × 245.65
  4. Step 4: Simplify right side
    378.24x = 128,288.39
  5. Step 5: Solve for x
    x = 128,288.39/378.24
  6. Step 6: Final answer
    x = 339.18

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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.