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Finding the Fourth Proportional to 590.87, 885.68 and 282.57

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Solution

The fourth proportional to 590.87, 885.68 and 282.57 is: 423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.87 : 885.68 = 282.57 : x
  2. Step 2: Convert to fraction form
    590.87/885.68 = 282.57/x
  3. Step 3: Cross multiply
    590.87x = 885.68 × 282.57
  4. Step 4: Simplify right side
    590.87x = 250,266.60
  5. Step 5: Solve for x
    x = 250,266.60/590.87
  6. Step 6: Final answer
    x = 423.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.