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Finding the Fourth Proportional to 657.42, 986.16 and 224.60

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Solution

The fourth proportional to 657.42, 986.16 and 224.60 is: 336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 986.16 = 224.60 : x
  2. Step 2: Convert to fraction form
    657.42/986.16 = 224.60/x
  3. Step 3: Cross multiply
    657.42x = 986.16 × 224.60
  4. Step 4: Simplify right side
    657.42x = 221,491.54
  5. Step 5: Solve for x
    x = 221,491.54/657.42
  6. Step 6: Final answer
    x = 336.91

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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.