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Finding the Fourth Proportional to 444.51, 666.03 and 314.24

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Solution

The fourth proportional to 444.51, 666.03 and 314.24 is: 470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.51 : 666.03 = 314.24 : x
  2. Step 2: Convert to fraction form
    444.51/666.03 = 314.24/x
  3. Step 3: Cross multiply
    444.51x = 666.03 × 314.24
  4. Step 4: Simplify right side
    444.51x = 209,293.27
  5. Step 5: Solve for x
    x = 209,293.27/444.51
  6. Step 6: Final answer
    x = 470.84

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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.