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Finding the Fourth Proportional to 379.52, 522.24 and 340.64

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Solution

The fourth proportional to 379.52, 522.24 and 340.64 is: 468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 522.24 = 340.64 : x
  2. Step 2: Convert to fraction form
    379.52/522.24 = 340.64/x
  3. Step 3: Cross multiply
    379.52x = 522.24 × 340.64
  4. Step 4: Simplify right side
    379.52x = 177,895.83
  5. Step 5: Solve for x
    x = 177,895.83/379.52
  6. Step 6: Final answer
    x = 468.74

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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.