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Finding the Fourth Proportional to 590.65, 885.24 and 261.24

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Solution

The fourth proportional to 590.65, 885.24 and 261.24 is: 391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.65 : 885.24 = 261.24 : x
  2. Step 2: Convert to fraction form
    590.65/885.24 = 261.24/x
  3. Step 3: Cross multiply
    590.65x = 885.24 × 261.24
  4. Step 4: Simplify right side
    590.65x = 231,260.10
  5. Step 5: Solve for x
    x = 231,260.10/590.65
  6. Step 6: Final answer
    x = 391.53

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