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Finding the Fourth Proportional to 631.84, 871 and 444.72

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Solution

The fourth proportional to 631.84, 871 and 444.72 is: 613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.84 : 871 = 444.72 : x
  2. Step 2: Convert to fraction form
    631.84/871 = 444.72/x
  3. Step 3: Cross multiply
    631.84x = 871 × 444.72
  4. Step 4: Simplify right side
    631.84x = 387,351.12
  5. Step 5: Solve for x
    x = 387,351.12/631.84
  6. Step 6: Final answer
    x = 613.05

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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.