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Finding the Fourth Proportional to 427.60, 590.04 and 311.20

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Solution

The fourth proportional to 427.60, 590.04 and 311.20 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 590.04 = 311.20 : x
  2. Step 2: Convert to fraction form
    427.60/590.04 = 311.20/x
  3. Step 3: Cross multiply
    427.60x = 590.04 × 311.20
  4. Step 4: Simplify right side
    427.60x = 183,620.45
  5. Step 5: Solve for x
    x = 183,620.45/427.60
  6. Step 6: Final answer
    x = 429.42

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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.