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Finding the Fourth Proportional to 657.20, 985.72 and 224.28

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Solution

The fourth proportional to 657.20, 985.72 and 224.28 is: 336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 985.72 = 224.28 : x
  2. Step 2: Convert to fraction form
    657.20/985.72 = 224.28/x
  3. Step 3: Cross multiply
    657.20x = 985.72 × 224.28
  4. Step 4: Simplify right side
    657.20x = 221,077.28
  5. Step 5: Solve for x
    x = 221,077.28/657.20
  6. Step 6: Final answer
    x = 336.39

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1.5x scale

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.