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Finding the Fourth Proportional to 444.74, 665.46 and 314.87

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Solution

The fourth proportional to 444.74, 665.46 and 314.87 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.74 : 665.46 = 314.87 : x
  2. Step 2: Convert to fraction form
    444.74/665.46 = 314.87/x
  3. Step 3: Cross multiply
    444.74x = 665.46 × 314.87
  4. Step 4: Simplify right side
    444.74x = 209,530.06
  5. Step 5: Solve for x
    x = 209,530.06/444.74
  6. Step 6: Final answer
    x = 471.13

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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.