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Finding the Fourth Proportional to 565.90, 847.41 and 308.86

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Solution

The fourth proportional to 565.90, 847.41 and 308.86 is: 462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 847.41 = 308.86 : x
  2. Step 2: Convert to fraction form
    565.90/847.41 = 308.86/x
  3. Step 3: Cross multiply
    565.90x = 847.41 × 308.86
  4. Step 4: Simplify right side
    565.90x = 261,731.05
  5. Step 5: Solve for x
    x = 261,731.05/565.90
  6. Step 6: Final answer
    x = 462.50

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1.5x scale

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.