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Finding the Fourth Proportional to 569.42, 854.94 and 543.30

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Solution

The fourth proportional to 569.42, 854.94 and 543.30 is: 815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.42 : 854.94 = 543.30 : x
  2. Step 2: Convert to fraction form
    569.42/854.94 = 543.30/x
  3. Step 3: Cross multiply
    569.42x = 854.94 × 543.30
  4. Step 4: Simplify right side
    569.42x = 464,488.90
  5. Step 5: Solve for x
    x = 464,488.90/569.42
  6. Step 6: Final answer
    x = 815.72

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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.