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Finding the Fourth Proportional to 569.22, 785.82 and 359.70

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Solution

The fourth proportional to 569.22, 785.82 and 359.70 is: 496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.22 : 785.82 = 359.70 : x
  2. Step 2: Convert to fraction form
    569.22/785.82 = 359.70/x
  3. Step 3: Cross multiply
    569.22x = 785.82 × 359.70
  4. Step 4: Simplify right side
    569.22x = 282,659.45
  5. Step 5: Solve for x
    x = 282,659.45/569.22
  6. Step 6: Final answer
    x = 496.57

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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.