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Finding the Fourth Proportional to 444.40, 665.70 and 444.40

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Solution

The fourth proportional to 444.40, 665.70 and 444.40 is: 665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.40 : 665.70 = 444.40 : x
  2. Step 2: Convert to fraction form
    444.40/665.70 = 444.40/x
  3. Step 3: Cross multiply
    444.40x = 665.70 × 444.40
  4. Step 4: Simplify right side
    444.40x = 295,837.08
  5. Step 5: Solve for x
    x = 295,837.08/444.40
  6. Step 6: Final answer
    x = 665.70

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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.