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Finding the Fourth Proportional to 471.20, 650.58 and 360.48

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Solution

The fourth proportional to 471.20, 650.58 and 360.48 is: 497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.20 : 650.58 = 360.48 : x
  2. Step 2: Convert to fraction form
    471.20/650.58 = 360.48/x
  3. Step 3: Cross multiply
    471.20x = 650.58 × 360.48
  4. Step 4: Simplify right side
    471.20x = 234,524.19
  5. Step 5: Solve for x
    x = 234,524.19/471.20
  6. Step 6: Final answer
    x = 497.72

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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.