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Finding the Fourth Proportional to 578.88, 794.88 and 560.88

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Solution

The fourth proportional to 578.88, 794.88 and 560.88 is: 770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.88 : 794.88 = 560.88 : x
  2. Step 2: Convert to fraction form
    578.88/794.88 = 560.88/x
  3. Step 3: Cross multiply
    578.88x = 794.88 × 560.88
  4. Step 4: Simplify right side
    578.88x = 445,832.29
  5. Step 5: Solve for x
    x = 445,832.29/578.88
  6. Step 6: Final answer
    x = 770.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.