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Finding the Fourth Proportional to 590.92, 815.82 and 425.56

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Solution

The fourth proportional to 590.92, 815.82 and 425.56 is: 587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 815.82 = 425.56 : x
  2. Step 2: Convert to fraction form
    590.92/815.82 = 425.56/x
  3. Step 3: Cross multiply
    590.92x = 815.82 × 425.56
  4. Step 4: Simplify right side
    590.92x = 347,180.36
  5. Step 5: Solve for x
    x = 347,180.36/590.92
  6. Step 6: Final answer
    x = 587.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.