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Finding the Fourth Proportional to 590.01, 882.80 and 367.68

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Solution

The fourth proportional to 590.01, 882.80 and 367.68 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.01 : 882.80 = 367.68 : x
  2. Step 2: Convert to fraction form
    590.01/882.80 = 367.68/x
  3. Step 3: Cross multiply
    590.01x = 882.80 × 367.68
  4. Step 4: Simplify right side
    590.01x = 324,586.07
  5. Step 5: Solve for x
    x = 324,586.07/590.01
  6. Step 6: Final answer
    x = 550.14

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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.