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Finding the Fourth Proportional to 590.72, 815.31 and 342.05

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Solution

The fourth proportional to 590.72, 815.31 and 342.05 is: 472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.72 : 815.31 = 342.05 : x
  2. Step 2: Convert to fraction form
    590.72/815.31 = 342.05/x
  3. Step 3: Cross multiply
    590.72x = 815.31 × 342.05
  4. Step 4: Simplify right side
    590.72x = 278,872.71
  5. Step 5: Solve for x
    x = 278,872.71/590.72
  6. Step 6: Final answer
    x = 472.09

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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.