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Finding the Fourth Proportional to 590.74, 885.82 and 344.03

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Solution

The fourth proportional to 590.74, 885.82 and 344.03 is: 515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.74 : 885.82 = 344.03 : x
  2. Step 2: Convert to fraction form
    590.74/885.82 = 344.03/x
  3. Step 3: Cross multiply
    590.74x = 885.82 × 344.03
  4. Step 4: Simplify right side
    590.74x = 304,747.12
  5. Step 5: Solve for x
    x = 304,747.12/590.74
  6. Step 6: Final answer
    x = 515.87

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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.