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Finding the Fourth Proportional to 657.16, 985.76 and 224.31

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Solution

The fourth proportional to 657.16, 985.76 and 224.31 is: 336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.16 : 985.76 = 224.31 : x
  2. Step 2: Convert to fraction form
    657.16/985.76 = 224.31/x
  3. Step 3: Cross multiply
    657.16x = 985.76 × 224.31
  4. Step 4: Simplify right side
    657.16x = 221,115.83
  5. Step 5: Solve for x
    x = 221,115.83/657.16
  6. Step 6: Final answer
    x = 336.47

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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.