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Finding the Fourth Proportional to 590.73, 815.11 and 342.06

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Solution

The fourth proportional to 590.73, 815.11 and 342.06 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.73 : 815.11 = 342.06 : x
  2. Step 2: Convert to fraction form
    590.73/815.11 = 342.06/x
  3. Step 3: Cross multiply
    590.73x = 815.11 × 342.06
  4. Step 4: Simplify right side
    590.73x = 278,816.53
  5. Step 5: Solve for x
    x = 278,816.53/590.73
  6. Step 6: Final answer
    x = 471.99

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Why These Related Problems?

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