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Finding the Fourth Proportional to 590.42, 814.91 and 341.71

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Solution

The fourth proportional to 590.42, 814.91 and 341.71 is: 471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.42 : 814.91 = 341.71 : x
  2. Step 2: Convert to fraction form
    590.42/814.91 = 341.71/x
  3. Step 3: Cross multiply
    590.42x = 814.91 × 341.71
  4. Step 4: Simplify right side
    590.42x = 278,462.90
  5. Step 5: Solve for x
    x = 278,462.90/590.42
  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.