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Finding the Fourth Proportional to 590.54, 885.83 and 282.42

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Solution

The fourth proportional to 590.54, 885.83 and 282.42 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.54 : 885.83 = 282.42 : x
  2. Step 2: Convert to fraction form
    590.54/885.83 = 282.42/x
  3. Step 3: Cross multiply
    590.54x = 885.83 × 282.42
  4. Step 4: Simplify right side
    590.54x = 250,174.70
  5. Step 5: Solve for x
    x = 250,174.70/590.54
  6. Step 6: Final answer
    x = 423.64

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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.