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Finding the Fourth Proportional to 427.75, 590.57 and 309.92

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Solution

The fourth proportional to 427.75, 590.57 and 309.92 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 590.57 = 309.92 : x
  2. Step 2: Convert to fraction form
    427.75/590.57 = 309.92/x
  3. Step 3: Cross multiply
    427.75x = 590.57 × 309.92
  4. Step 4: Simplify right side
    427.75x = 183,029.45
  5. Step 5: Solve for x
    x = 183,029.45/427.75
  6. Step 6: Final answer
    x = 427.89

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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.