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Finding the Fourth Proportional to 568.89, 785.08 and 347.80

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Solution

The fourth proportional to 568.89, 785.08 and 347.80 is: 479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.89 : 785.08 = 347.80 : x
  2. Step 2: Convert to fraction form
    568.89/785.08 = 347.80/x
  3. Step 3: Cross multiply
    568.89x = 785.08 × 347.80
  4. Step 4: Simplify right side
    568.89x = 273,046.90
  5. Step 5: Solve for x
    x = 273,046.90/568.89
  6. Step 6: Final answer
    x = 479.96

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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.