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Finding the Fourth Proportional to 570.53, 855.90 and 539.42

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Solution

The fourth proportional to 570.53, 855.90 and 539.42 is: 809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.53 : 855.90 = 539.42 : x
  2. Step 2: Convert to fraction form
    570.53/855.90 = 539.42/x
  3. Step 3: Cross multiply
    570.53x = 855.90 × 539.42
  4. Step 4: Simplify right side
    570.53x = 461,685.30
  5. Step 5: Solve for x
    x = 461,685.30/570.53
  6. Step 6: Final answer
    x = 809.22

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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.