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Finding the Fourth Proportional to 590.22, 885.29 and 205.47

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Solution

The fourth proportional to 590.22, 885.29 and 205.47 is: 308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.22 : 885.29 = 205.47 : x
  2. Step 2: Convert to fraction form
    590.22/885.29 = 205.47/x
  3. Step 3: Cross multiply
    590.22x = 885.29 × 205.47
  4. Step 4: Simplify right side
    590.22x = 181,899.51
  5. Step 5: Solve for x
    x = 181,899.51/590.22
  6. Step 6: Final answer
    x = 308.19

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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.