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Finding the Fourth Proportional to 565.40, 847.82 and 360.38

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Solution

The fourth proportional to 565.40, 847.82 and 360.38 is: 540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 847.82 = 360.38 : x
  2. Step 2: Convert to fraction form
    565.40/847.82 = 360.38/x
  3. Step 3: Cross multiply
    565.40x = 847.82 × 360.38
  4. Step 4: Simplify right side
    565.40x = 305,536.47
  5. Step 5: Solve for x
    x = 305,536.47/565.40
  6. Step 6: Final answer
    x = 540.39

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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.