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Finding the Fourth Proportional to 440.24, 607.24 and 309.48

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Solution

The fourth proportional to 440.24, 607.24 and 309.48 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.24 : 607.24 = 309.48 : x
  2. Step 2: Convert to fraction form
    440.24/607.24 = 309.48/x
  3. Step 3: Cross multiply
    440.24x = 607.24 × 309.48
  4. Step 4: Simplify right side
    440.24x = 187,928.64
  5. Step 5: Solve for x
    x = 187,928.64/440.24
  6. Step 6: Final answer
    x = 426.88

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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.