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Finding the Fourth Proportional to 590.22, 883.53 and 427.86

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Solution

The fourth proportional to 590.22, 883.53 and 427.86 is: 640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.22 : 883.53 = 427.86 : x
  2. Step 2: Convert to fraction form
    590.22/883.53 = 427.86/x
  3. Step 3: Cross multiply
    590.22x = 883.53 × 427.86
  4. Step 4: Simplify right side
    590.22x = 378,027.15
  5. Step 5: Solve for x
    x = 378,027.15/590.22
  6. Step 6: Final answer
    x = 640.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.