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Finding the Fourth Proportional to 565.09, 847.70 and 240.34

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Solution

The fourth proportional to 565.09, 847.70 and 240.34 is: 360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.09 : 847.70 = 240.34 : x
  2. Step 2: Convert to fraction form
    565.09/847.70 = 240.34/x
  3. Step 3: Cross multiply
    565.09x = 847.70 × 240.34
  4. Step 4: Simplify right side
    565.09x = 203,736.22
  5. Step 5: Solve for x
    x = 203,736.22/565.09
  6. Step 6: Final answer
    x = 360.54

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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.