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Finding the Fourth Proportional to 569.14, 785.28 and 359.38

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Solution

The fourth proportional to 569.14, 785.28 and 359.38 is: 495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.14 : 785.28 = 359.38 : x
  2. Step 2: Convert to fraction form
    569.14/785.28 = 359.38/x
  3. Step 3: Cross multiply
    569.14x = 785.28 × 359.38
  4. Step 4: Simplify right side
    569.14x = 282,213.93
  5. Step 5: Solve for x
    x = 282,213.93/569.14
  6. Step 6: Final answer
    x = 495.86

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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.