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Finding the Fourth Proportional to 590.39, 885.99 and 205.64

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Solution

The fourth proportional to 590.39, 885.99 and 205.64 is: 308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.39 : 885.99 = 205.64 : x
  2. Step 2: Convert to fraction form
    590.39/885.99 = 205.64/x
  3. Step 3: Cross multiply
    590.39x = 885.99 × 205.64
  4. Step 4: Simplify right side
    590.39x = 182,197.20
  5. Step 5: Solve for x
    x = 182,197.20/590.39
  6. Step 6: Final answer
    x = 308.60

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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.