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Finding the Fourth Proportional to 657.50, 986.25 and 224.66

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Solution

The fourth proportional to 657.50, 986.25 and 224.66 is: 336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.50 : 986.25 = 224.66 : x
  2. Step 2: Convert to fraction form
    657.50/986.25 = 224.66/x
  3. Step 3: Cross multiply
    657.50x = 986.25 × 224.66
  4. Step 4: Simplify right side
    657.50x = 221,570.93
  5. Step 5: Solve for x
    x = 221,570.93/657.50
  6. Step 6: Final answer
    x = 336.99

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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.