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Finding the Fourth Proportional to 590.01, 814.22 and 357.13

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Solution

The fourth proportional to 590.01, 814.22 and 357.13 is: 492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.01 : 814.22 = 357.13 : x
  2. Step 2: Convert to fraction form
    590.01/814.22 = 357.13/x
  3. Step 3: Cross multiply
    590.01x = 814.22 × 357.13
  4. Step 4: Simplify right side
    590.01x = 290,780.60
  5. Step 5: Solve for x
    x = 290,780.60/590.01
  6. Step 6: Final answer
    x = 492.84

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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.