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Finding the Fourth Proportional to 767.48, 1,151.56 and 328.84

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Solution

The fourth proportional to 767.48, 1,151.56 and 328.84 is: 493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.48 : 1,151.56 = 328.84 : x
  2. Step 2: Convert to fraction form
    767.48/1,151.56 = 328.84/x
  3. Step 3: Cross multiply
    767.48x = 1,151.56 × 328.84
  4. Step 4: Simplify right side
    767.48x = 378,678.99
  5. Step 5: Solve for x
    x = 378,678.99/767.48
  6. Step 6: Final answer
    x = 493.41

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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.