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Finding the Fourth Proportional to 565.57, 779.94 and 366.14

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Solution

The fourth proportional to 565.57, 779.94 and 366.14 is: 504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.57 : 779.94 = 366.14 : x
  2. Step 2: Convert to fraction form
    565.57/779.94 = 366.14/x
  3. Step 3: Cross multiply
    565.57x = 779.94 × 366.14
  4. Step 4: Simplify right side
    565.57x = 285,567.23
  5. Step 5: Solve for x
    x = 285,567.23/565.57
  6. Step 6: Final answer
    x = 504.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.