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Finding the Fourth Proportional to 570.60, 854.31 and 364.66

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Solution

The fourth proportional to 570.60, 854.31 and 364.66 is: 545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.60 : 854.31 = 364.66 : x
  2. Step 2: Convert to fraction form
    570.60/854.31 = 364.66/x
  3. Step 3: Cross multiply
    570.60x = 854.31 × 364.66
  4. Step 4: Simplify right side
    570.60x = 311,532.68
  5. Step 5: Solve for x
    x = 311,532.68/570.60
  6. Step 6: Final answer
    x = 545.97

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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.