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Finding the Fourth Proportional to 569.67, 785.84 and 359.45

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Solution

The fourth proportional to 569.67, 785.84 and 359.45 is: 495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.67 : 785.84 = 359.45 : x
  2. Step 2: Convert to fraction form
    569.67/785.84 = 359.45/x
  3. Step 3: Cross multiply
    569.67x = 785.84 × 359.45
  4. Step 4: Simplify right side
    569.67x = 282,470.36
  5. Step 5: Solve for x
    x = 282,470.36/569.67
  6. Step 6: Final answer
    x = 495.85

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