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Finding the Fourth Proportional to 565.11, 847.61 and 467.23

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Solution

The fourth proportional to 565.11, 847.61 and 467.23 is: 700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.11 : 847.61 = 467.23 : x
  2. Step 2: Convert to fraction form
    565.11/847.61 = 467.23/x
  3. Step 3: Cross multiply
    565.11x = 847.61 × 467.23
  4. Step 4: Simplify right side
    565.11x = 396,024.58
  5. Step 5: Solve for x
    x = 396,024.58/565.11
  6. Step 6: Final answer
    x = 700.79

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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.