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Finding the Fourth Proportional to 590.00, 882.78 and 367.70

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Solution

The fourth proportional to 590.00, 882.78 and 367.70 is: 550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.00 : 882.78 = 367.70 : x
  2. Step 2: Convert to fraction form
    590.00/882.78 = 367.70/x
  3. Step 3: Cross multiply
    590.00x = 882.78 × 367.70
  4. Step 4: Simplify right side
    590.00x = 324,593.79
  5. Step 5: Solve for x
    x = 324,593.79/590.00
  6. Step 6: Final answer
    x = 550.16

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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.