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Finding the Fourth Proportional to 763.14, 1,145.52 and 330.60

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Solution

The fourth proportional to 763.14, 1,145.52 and 330.60 is: 496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.14 : 1,145.52 = 330.60 : x
  2. Step 2: Convert to fraction form
    763.14/1,145.52 = 330.60/x
  3. Step 3: Cross multiply
    763.14x = 1,145.52 × 330.60
  4. Step 4: Simplify right side
    763.14x = 378,708.91
  5. Step 5: Solve for x
    x = 378,708.91/763.14
  6. Step 6: Final answer
    x = 496.25

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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.