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Finding the Fourth Proportional to 590.78, 815.24 and 342.11

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Solution

The fourth proportional to 590.78, 815.24 and 342.11 is: 472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.78 : 815.24 = 342.11 : x
  2. Step 2: Convert to fraction form
    590.78/815.24 = 342.11/x
  3. Step 3: Cross multiply
    590.78x = 815.24 × 342.11
  4. Step 4: Simplify right side
    590.78x = 278,895.97
  5. Step 5: Solve for x
    x = 278,895.97/590.78
  6. Step 6: Final answer
    x = 472.08

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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.