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Finding the Fourth Proportional to 569.39, 786.26 and 359.94

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Solution

The fourth proportional to 569.39, 786.26 and 359.94 is: 497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.39 : 786.26 = 359.94 : x
  2. Step 2: Convert to fraction form
    569.39/786.26 = 359.94/x
  3. Step 3: Cross multiply
    569.39x = 786.26 × 359.94
  4. Step 4: Simplify right side
    569.39x = 283,004.62
  5. Step 5: Solve for x
    x = 283,004.62/569.39
  6. Step 6: Final answer
    x = 497.03

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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.