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Finding the Fourth Proportional to 590.86, 815.43 and 342.19

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Solution

The fourth proportional to 590.86, 815.43 and 342.19 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.86 : 815.43 = 342.19 : x
  2. Step 2: Convert to fraction form
    590.86/815.43 = 342.19/x
  3. Step 3: Cross multiply
    590.86x = 815.43 × 342.19
  4. Step 4: Simplify right side
    590.86x = 279,031.99
  5. Step 5: Solve for x
    x = 279,031.99/590.86
  6. Step 6: Final answer
    x = 472.25

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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.