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Finding the Fourth Proportional to 331.09, 457.29 and 264.93

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Solution

The fourth proportional to 331.09, 457.29 and 264.93 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.09 : 457.29 = 264.93 : x
  2. Step 2: Convert to fraction form
    331.09/457.29 = 264.93/x
  3. Step 3: Cross multiply
    331.09x = 457.29 × 264.93
  4. Step 4: Simplify right side
    331.09x = 121,150.50
  5. Step 5: Solve for x
    x = 121,150.50/331.09
  6. Step 6: Final answer
    x = 365.91

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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.