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Finding the Fourth Proportional to 590.10, 814.31 and 393.58

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Solution

The fourth proportional to 590.10, 814.31 and 393.58 is: 543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 814.31 = 393.58 : x
  2. Step 2: Convert to fraction form
    590.10/814.31 = 393.58/x
  3. Step 3: Cross multiply
    590.10x = 814.31 × 393.58
  4. Step 4: Simplify right side
    590.10x = 320,494.16
  5. Step 5: Solve for x
    x = 320,494.16/590.10
  6. Step 6: Final answer
    x = 543.12

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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.