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Finding the Fourth Proportional to 477.74, 716.64 and 131.08

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Solution

The fourth proportional to 477.74, 716.64 and 131.08 is: 196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.74 : 716.64 = 131.08 : x
  2. Step 2: Convert to fraction form
    477.74/716.64 = 131.08/x
  3. Step 3: Cross multiply
    477.74x = 716.64 × 131.08
  4. Step 4: Simplify right side
    477.74x = 93,937.17
  5. Step 5: Solve for x
    x = 93,937.17/477.74
  6. Step 6: Final answer
    x = 196.63

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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.