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Finding the Fourth Proportional to 568.92, 785.46 and 359.31

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Solution

The fourth proportional to 568.92, 785.46 and 359.31 is: 496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.92 : 785.46 = 359.31 : x
  2. Step 2: Convert to fraction form
    568.92/785.46 = 359.31/x
  3. Step 3: Cross multiply
    568.92x = 785.46 × 359.31
  4. Step 4: Simplify right side
    568.92x = 282,223.63
  5. Step 5: Solve for x
    x = 282,223.63/568.92
  6. Step 6: Final answer
    x = 496.07

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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.