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Finding the Fourth Proportional to 331.08, 497.43 and 312.66

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Solution

The fourth proportional to 331.08, 497.43 and 312.66 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 497.43 = 312.66 : x
  2. Step 2: Convert to fraction form
    331.08/497.43 = 312.66/x
  3. Step 3: Cross multiply
    331.08x = 497.43 × 312.66
  4. Step 4: Simplify right side
    331.08x = 155,526.46
  5. Step 5: Solve for x
    x = 155,526.46/331.08
  6. Step 6: Final answer
    x = 469.75

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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.