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Finding the Fourth Proportional to 440.02, 607.03 and 309.11

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Solution

The fourth proportional to 440.02, 607.03 and 309.11 is: 426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.02 : 607.03 = 309.11 : x
  2. Step 2: Convert to fraction form
    440.02/607.03 = 309.11/x
  3. Step 3: Cross multiply
    440.02x = 607.03 × 309.11
  4. Step 4: Simplify right side
    440.02x = 187,638.25
  5. Step 5: Solve for x
    x = 187,638.25/440.02
  6. Step 6: Final answer
    x = 426.43

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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.