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Finding the Fourth Proportional to 440.20, 607.62 and 309.24

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Solution

The fourth proportional to 440.20, 607.62 and 309.24 is: 426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.20 : 607.62 = 309.24 : x
  2. Step 2: Convert to fraction form
    440.20/607.62 = 309.24/x
  3. Step 3: Cross multiply
    440.20x = 607.62 × 309.24
  4. Step 4: Simplify right side
    440.20x = 187,900.41
  5. Step 5: Solve for x
    x = 187,900.41/440.20
  6. Step 6: Final answer
    x = 426.85

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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.