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Finding the Fourth Proportional to 444.07, 665.34 and 307.09

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Solution

The fourth proportional to 444.07, 665.34 and 307.09 is: 460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.07 : 665.34 = 307.09 : x
  2. Step 2: Convert to fraction form
    444.07/665.34 = 307.09/x
  3. Step 3: Cross multiply
    444.07x = 665.34 × 307.09
  4. Step 4: Simplify right side
    444.07x = 204,319.26
  5. Step 5: Solve for x
    x = 204,319.26/444.07
  6. Step 6: Final answer
    x = 460.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.