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Finding the Fourth Proportional to 631.36, 871.44 and 410.86

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Solution

The fourth proportional to 631.36, 871.44 and 410.86 is: 567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.36 : 871.44 = 410.86 : x
  2. Step 2: Convert to fraction form
    631.36/871.44 = 410.86/x
  3. Step 3: Cross multiply
    631.36x = 871.44 × 410.86
  4. Step 4: Simplify right side
    631.36x = 358,039.84
  5. Step 5: Solve for x
    x = 358,039.84/631.36
  6. Step 6: Final answer
    x = 567.09

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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.