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Finding the Fourth Proportional to 471.19, 650.24 and 264.19

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Solution

The fourth proportional to 471.19, 650.24 and 264.19 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.19 : 650.24 = 264.19 : x
  2. Step 2: Convert to fraction form
    471.19/650.24 = 264.19/x
  3. Step 3: Cross multiply
    471.19x = 650.24 × 264.19
  4. Step 4: Simplify right side
    471.19x = 171,784.95
  5. Step 5: Solve for x
    x = 171,784.95/471.19
  6. Step 6: Final answer
    x = 364.58

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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.