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Finding the Fourth Proportional to 370.28, 511.62 and 293.24

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Solution

The fourth proportional to 370.28, 511.62 and 293.24 is: 405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.28 : 511.62 = 293.24 : x
  2. Step 2: Convert to fraction form
    370.28/511.62 = 293.24/x
  3. Step 3: Cross multiply
    370.28x = 511.62 × 293.24
  4. Step 4: Simplify right side
    370.28x = 150,027.45
  5. Step 5: Solve for x
    x = 150,027.45/370.28
  6. Step 6: Final answer
    x = 405.17

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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.