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Finding the Fourth Proportional to 631.37, 872.12 and 434.54

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Solution

The fourth proportional to 631.37, 872.12 and 434.54 is: 600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.37 : 872.12 = 434.54 : x
  2. Step 2: Convert to fraction form
    631.37/872.12 = 434.54/x
  3. Step 3: Cross multiply
    631.37x = 872.12 × 434.54
  4. Step 4: Simplify right side
    631.37x = 378,971.02
  5. Step 5: Solve for x
    x = 378,971.02/631.37
  6. Step 6: Final answer
    x = 600.24

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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.