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Finding the Fourth Proportional to 590.34, 885.53 and 205.59

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Solution

The fourth proportional to 590.34, 885.53 and 205.59 is: 308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 885.53 = 205.59 : x
  2. Step 2: Convert to fraction form
    590.34/885.53 = 205.59/x
  3. Step 3: Cross multiply
    590.34x = 885.53 × 205.59
  4. Step 4: Simplify right side
    590.34x = 182,055.08
  5. Step 5: Solve for x
    x = 182,055.08/590.34
  6. Step 6: Final answer
    x = 308.39

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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.