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Finding the Fourth Proportional to 570.70, 854.84 and 353.62

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Solution

The fourth proportional to 570.70, 854.84 and 353.62 is: 529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.70 : 854.84 = 353.62 : x
  2. Step 2: Convert to fraction form
    570.70/854.84 = 353.62/x
  3. Step 3: Cross multiply
    570.70x = 854.84 × 353.62
  4. Step 4: Simplify right side
    570.70x = 302,286.75
  5. Step 5: Solve for x
    x = 302,286.75/570.70
  6. Step 6: Final answer
    x = 529.68

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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.