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Finding the Fourth Proportional to 331.60, 456.42 and 312.70

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Solution

The fourth proportional to 331.60, 456.42 and 312.70 is: 430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.60 : 456.42 = 312.70 : x
  2. Step 2: Convert to fraction form
    331.60/456.42 = 312.70/x
  3. Step 3: Cross multiply
    331.60x = 456.42 × 312.70
  4. Step 4: Simplify right side
    331.60x = 142,722.53
  5. Step 5: Solve for x
    x = 142,722.53/331.60
  6. Step 6: Final answer
    x = 430.41

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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.