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Finding the Fourth Proportional to 762.05, 1,142.90 and 328.97

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Solution

The fourth proportional to 762.05, 1,142.90 and 328.97 is: 493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.05 : 1,142.90 = 328.97 : x
  2. Step 2: Convert to fraction form
    762.05/1,142.90 = 328.97/x
  3. Step 3: Cross multiply
    762.05x = 1,142.90 × 328.97
  4. Step 4: Simplify right side
    762.05x = 375,978.17
  5. Step 5: Solve for x
    x = 375,978.17/762.05
  6. Step 6: Final answer
    x = 493.38

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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.