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Finding the Fourth Proportional to 374.01, 563.44 and 293.21

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Solution

The fourth proportional to 374.01, 563.44 and 293.21 is: 441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.01 : 563.44 = 293.21 : x
  2. Step 2: Convert to fraction form
    374.01/563.44 = 293.21/x
  3. Step 3: Cross multiply
    374.01x = 563.44 × 293.21
  4. Step 4: Simplify right side
    374.01x = 165,206.24
  5. Step 5: Solve for x
    x = 165,206.24/374.01
  6. Step 6: Final answer
    x = 441.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.