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Finding the Fourth Proportional to 590.66, 886.35 and 225.48

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Solution

The fourth proportional to 590.66, 886.35 and 225.48 is: 338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.66 : 886.35 = 225.48 : x
  2. Step 2: Convert to fraction form
    590.66/886.35 = 225.48/x
  3. Step 3: Cross multiply
    590.66x = 886.35 × 225.48
  4. Step 4: Simplify right side
    590.66x = 199,854.20
  5. Step 5: Solve for x
    x = 199,854.20/590.66
  6. Step 6: Final answer
    x = 338.36

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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.