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Finding the Fourth Proportional to 763.66, 1,146.66 and 331.66

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Solution

The fourth proportional to 763.66, 1,146.66 and 331.66 is: 498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.66 : 1,146.66 = 331.66 : x
  2. Step 2: Convert to fraction form
    763.66/1,146.66 = 331.66/x
  3. Step 3: Cross multiply
    763.66x = 1,146.66 × 331.66
  4. Step 4: Simplify right side
    763.66x = 380,301.26
  5. Step 5: Solve for x
    x = 380,301.26/763.66
  6. Step 6: Final answer
    x = 498.00

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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.