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Finding the Fourth Proportional to 565.55, 847.07 and 467.82

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Solution

The fourth proportional to 565.55, 847.07 and 467.82 is: 700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.55 : 847.07 = 467.82 : x
  2. Step 2: Convert to fraction form
    565.55/847.07 = 467.82/x
  3. Step 3: Cross multiply
    565.55x = 847.07 × 467.82
  4. Step 4: Simplify right side
    565.55x = 396,272.00
  5. Step 5: Solve for x
    x = 396,272.00/565.55
  6. Step 6: Final answer
    x = 700.69

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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.