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Finding the Fourth Proportional to 661.41, 991.04 and 477.95

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Solution

The fourth proportional to 661.41, 991.04 and 477.95 is: 716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.41 : 991.04 = 477.95 : x
  2. Step 2: Convert to fraction form
    661.41/991.04 = 477.95/x
  3. Step 3: Cross multiply
    661.41x = 991.04 × 477.95
  4. Step 4: Simplify right side
    661.41x = 473,660.22
  5. Step 5: Solve for x
    x = 473,660.22/661.41
  6. Step 6: Final answer
    x = 716.14

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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.