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Finding the Fourth Proportional to 376.92, 563.04 and 290.22

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Solution

The fourth proportional to 376.92, 563.04 and 290.22 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.92 : 563.04 = 290.22 : x
  2. Step 2: Convert to fraction form
    376.92/563.04 = 290.22/x
  3. Step 3: Cross multiply
    376.92x = 563.04 × 290.22
  4. Step 4: Simplify right side
    376.92x = 163,405.47
  5. Step 5: Solve for x
    x = 163,405.47/376.92
  6. Step 6: Final answer
    x = 433.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.