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Finding the Fourth Proportional to 641.24, 960.36 and 315.56

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Solution

The fourth proportional to 641.24, 960.36 and 315.56 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.24 : 960.36 = 315.56 : x
  2. Step 2: Convert to fraction form
    641.24/960.36 = 315.56/x
  3. Step 3: Cross multiply
    641.24x = 960.36 × 315.56
  4. Step 4: Simplify right side
    641.24x = 303,051.20
  5. Step 5: Solve for x
    x = 303,051.20/641.24
  6. Step 6: Final answer
    x = 472.60

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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.