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Finding the Fourth Proportional to 590.31, 814.64 and 341.60

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Solution

The fourth proportional to 590.31, 814.64 and 341.60 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.31 : 814.64 = 341.60 : x
  2. Step 2: Convert to fraction form
    590.31/814.64 = 341.60/x
  3. Step 3: Cross multiply
    590.31x = 814.64 × 341.60
  4. Step 4: Simplify right side
    590.31x = 278,275.24
  5. Step 5: Solve for x
    x = 278,275.24/590.31
  6. Step 6: Final answer
    x = 471.41

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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.