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Finding the Fourth Proportional to 570.14, 853.84 and 325.92

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Solution

The fourth proportional to 570.14, 853.84 and 325.92 is: 488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.14 : 853.84 = 325.92 : x
  2. Step 2: Convert to fraction form
    570.14/853.84 = 325.92/x
  3. Step 3: Cross multiply
    570.14x = 853.84 × 325.92
  4. Step 4: Simplify right side
    570.14x = 278,283.53
  5. Step 5: Solve for x
    x = 278,283.53/570.14
  6. Step 6: Final answer
    x = 488.10

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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.