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Finding the Fourth Proportional to 590.09, 814.05 and 415.13

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Solution

The fourth proportional to 590.09, 814.05 and 415.13 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.09 : 814.05 = 415.13 : x
  2. Step 2: Convert to fraction form
    590.09/814.05 = 415.13/x
  3. Step 3: Cross multiply
    590.09x = 814.05 × 415.13
  4. Step 4: Simplify right side
    590.09x = 337,932.51
  5. Step 5: Solve for x
    x = 337,932.51/590.09
  6. Step 6: Final answer
    x = 572.68

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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.