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Finding the Fourth Proportional to 377.24, 563 and 367.52

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Solution

The fourth proportional to 377.24, 563 and 367.52 is: 548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.24 : 563 = 367.52 : x
  2. Step 2: Convert to fraction form
    377.24/563 = 367.52/x
  3. Step 3: Cross multiply
    377.24x = 563 × 367.52
  4. Step 4: Simplify right side
    377.24x = 206,913.76
  5. Step 5: Solve for x
    x = 206,913.76/377.24
  6. Step 6: Final answer
    x = 548.49

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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.