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Finding the Fourth Proportional to 443.16, 611.60 and 268.60

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Solution

The fourth proportional to 443.16, 611.60 and 268.60 is: 370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.16 : 611.60 = 268.60 : x
  2. Step 2: Convert to fraction form
    443.16/611.60 = 268.60/x
  3. Step 3: Cross multiply
    443.16x = 611.60 × 268.60
  4. Step 4: Simplify right side
    443.16x = 164,275.76
  5. Step 5: Solve for x
    x = 164,275.76/443.16
  6. Step 6: Final answer
    x = 370.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.