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Finding the Fourth Proportional to 374.73, 563.12 and 365.01

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Solution

The fourth proportional to 374.73, 563.12 and 365.01 is: 548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.73 : 563.12 = 365.01 : x
  2. Step 2: Convert to fraction form
    374.73/563.12 = 365.01/x
  3. Step 3: Cross multiply
    374.73x = 563.12 × 365.01
  4. Step 4: Simplify right side
    374.73x = 205,542.61
  5. Step 5: Solve for x
    x = 205,542.61/374.73
  6. Step 6: Final answer
    x = 548.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.