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Finding the Fourth Proportional to 568.80, 853.74 and 478.08

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Solution

The fourth proportional to 568.80, 853.74 and 478.08 is: 717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.80 : 853.74 = 478.08 : x
  2. Step 2: Convert to fraction form
    568.80/853.74 = 478.08/x
  3. Step 3: Cross multiply
    568.80x = 853.74 × 478.08
  4. Step 4: Simplify right side
    568.80x = 408,156.02
  5. Step 5: Solve for x
    x = 408,156.02/568.80
  6. Step 6: Final answer
    x = 717.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.