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Finding the Fourth Proportional to 590.41, 814.83 and 341.74

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Solution

The fourth proportional to 590.41, 814.83 and 341.74 is: 471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.41 : 814.83 = 341.74 : x
  2. Step 2: Convert to fraction form
    590.41/814.83 = 341.74/x
  3. Step 3: Cross multiply
    590.41x = 814.83 × 341.74
  4. Step 4: Simplify right side
    590.41x = 278,460.00
  5. Step 5: Solve for x
    x = 278,460.00/590.41
  6. Step 6: Final answer
    x = 471.64

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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.