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Finding the Fourth Proportional to 333.64, 460 and 271.24

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Solution

The fourth proportional to 333.64, 460 and 271.24 is: 373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.64 : 460 = 271.24 : x
  2. Step 2: Convert to fraction form
    333.64/460 = 271.24/x
  3. Step 3: Cross multiply
    333.64x = 460 × 271.24
  4. Step 4: Simplify right side
    333.64x = 124,770.40
  5. Step 5: Solve for x
    x = 124,770.40/333.64
  6. Step 6: Final answer
    x = 373.97

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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.