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Finding the Fourth Proportional to 657.56, 986.06 and 224.58

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Solution

The fourth proportional to 657.56, 986.06 and 224.58 is: 336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 986.06 = 224.58 : x
  2. Step 2: Convert to fraction form
    657.56/986.06 = 224.58/x
  3. Step 3: Cross multiply
    657.56x = 986.06 × 224.58
  4. Step 4: Simplify right side
    657.56x = 221,449.35
  5. Step 5: Solve for x
    x = 221,449.35/657.56
  6. Step 6: Final answer
    x = 336.77

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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.