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Finding the Fourth Proportional to 661.68, 991.41 and 478.14

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Solution

The fourth proportional to 661.68, 991.41 and 478.14 is: 716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.68 : 991.41 = 478.14 : x
  2. Step 2: Convert to fraction form
    661.68/991.41 = 478.14/x
  3. Step 3: Cross multiply
    661.68x = 991.41 × 478.14
  4. Step 4: Simplify right side
    661.68x = 474,032.78
  5. Step 5: Solve for x
    x = 474,032.78/661.68
  6. Step 6: Final answer
    x = 716.41

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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.