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Finding the Fourth Proportional to 333.95, 500.31 and 203.65

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Solution

The fourth proportional to 333.95, 500.31 and 203.65 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.95 : 500.31 = 203.65 : x
  2. Step 2: Convert to fraction form
    333.95/500.31 = 203.65/x
  3. Step 3: Cross multiply
    333.95x = 500.31 × 203.65
  4. Step 4: Simplify right side
    333.95x = 101,886.88
  5. Step 5: Solve for x
    x = 101,886.88/333.95
  6. Step 6: Final answer
    x = 305.10

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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.