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Finding the Fourth Proportional to 590.97, 815.68 and 342.44

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Solution

The fourth proportional to 590.97, 815.68 and 342.44 is: 472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.97 : 815.68 = 342.44 : x
  2. Step 2: Convert to fraction form
    590.97/815.68 = 342.44/x
  3. Step 3: Cross multiply
    590.97x = 815.68 × 342.44
  4. Step 4: Simplify right side
    590.97x = 279,316.52
  5. Step 5: Solve for x
    x = 279,316.52/590.97
  6. Step 6: Final answer
    x = 472.64

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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.