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Finding the Fourth Proportional to 330.33, 492.27 and 310.86

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Solution

The fourth proportional to 330.33, 492.27 and 310.86 is: 463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 492.27 = 310.86 : x
  2. Step 2: Convert to fraction form
    330.33/492.27 = 310.86/x
  3. Step 3: Cross multiply
    330.33x = 492.27 × 310.86
  4. Step 4: Simplify right side
    330.33x = 153,027.05
  5. Step 5: Solve for x
    x = 153,027.05/330.33
  6. Step 6: Final answer
    x = 463.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.