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Finding the Fourth Proportional to 571.68, 782.88 and 568.32

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Solution

The fourth proportional to 571.68, 782.88 and 568.32 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 782.88 = 568.32 : x
  2. Step 2: Convert to fraction form
    571.68/782.88 = 568.32/x
  3. Step 3: Cross multiply
    571.68x = 782.88 × 568.32
  4. Step 4: Simplify right side
    571.68x = 444,926.36
  5. Step 5: Solve for x
    x = 444,926.36/571.68
  6. Step 6: Final answer
    x = 778.28

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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.