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Finding the Fourth Proportional to 569.12, 854.40 and 517.28

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Solution

The fourth proportional to 569.12, 854.40 and 517.28 is: 776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 854.40 = 517.28 : x
  2. Step 2: Convert to fraction form
    569.12/854.40 = 517.28/x
  3. Step 3: Cross multiply
    569.12x = 854.40 × 517.28
  4. Step 4: Simplify right side
    569.12x = 441,964.03
  5. Step 5: Solve for x
    x = 441,964.03/569.12
  6. Step 6: Final answer
    x = 776.57

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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.