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Finding the Fourth Proportional to 590.57, 885.27 and 330.69

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Solution

The fourth proportional to 590.57, 885.27 and 330.69 is: 495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.57 : 885.27 = 330.69 : x
  2. Step 2: Convert to fraction form
    590.57/885.27 = 330.69/x
  3. Step 3: Cross multiply
    590.57x = 885.27 × 330.69
  4. Step 4: Simplify right side
    590.57x = 292,749.94
  5. Step 5: Solve for x
    x = 292,749.94/590.57
  6. Step 6: Final answer
    x = 495.71

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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.