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Finding the Fourth Proportional to 333.77, 460.27 and 287.30

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Solution

The fourth proportional to 333.77, 460.27 and 287.30 is: 396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.77 : 460.27 = 287.30 : x
  2. Step 2: Convert to fraction form
    333.77/460.27 = 287.30/x
  3. Step 3: Cross multiply
    333.77x = 460.27 × 287.30
  4. Step 4: Simplify right side
    333.77x = 132,235.57
  5. Step 5: Solve for x
    x = 132,235.57/333.77
  6. Step 6: Final answer
    x = 396.19

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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.