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Finding the Fourth Proportional to 477.77, 716.11 and 217.22

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Solution

The fourth proportional to 477.77, 716.11 and 217.22 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 716.11 = 217.22 : x
  2. Step 2: Convert to fraction form
    477.77/716.11 = 217.22/x
  3. Step 3: Cross multiply
    477.77x = 716.11 × 217.22
  4. Step 4: Simplify right side
    477.77x = 155,549.29
  5. Step 5: Solve for x
    x = 155,549.29/477.77
  6. Step 6: Final answer
    x = 325.58

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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.