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Finding the Fourth Proportional to 443.10, 611.48 and 256.64

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Solution

The fourth proportional to 443.10, 611.48 and 256.64 is: 354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.10 : 611.48 = 256.64 : x
  2. Step 2: Convert to fraction form
    443.10/611.48 = 256.64/x
  3. Step 3: Cross multiply
    443.10x = 611.48 × 256.64
  4. Step 4: Simplify right side
    443.10x = 156,930.23
  5. Step 5: Solve for x
    x = 156,930.23/443.10
  6. Step 6: Final answer
    x = 354.16

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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.