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Finding the Fourth Proportional to 590.32, 885.31 and 225.08

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Solution

The fourth proportional to 590.32, 885.31 and 225.08 is: 337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.32 : 885.31 = 225.08 : x
  2. Step 2: Convert to fraction form
    590.32/885.31 = 225.08/x
  3. Step 3: Cross multiply
    590.32x = 885.31 × 225.08
  4. Step 4: Simplify right side
    590.32x = 199,260.02
  5. Step 5: Solve for x
    x = 199,260.02/590.32
  6. Step 6: Final answer
    x = 337.55

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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.