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Finding the Fourth Proportional to 443.54, 612.03 and 257.02

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Solution

The fourth proportional to 443.54, 612.03 and 257.02 is: 354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.54 : 612.03 = 257.02 : x
  2. Step 2: Convert to fraction form
    443.54/612.03 = 257.02/x
  3. Step 3: Cross multiply
    443.54x = 612.03 × 257.02
  4. Step 4: Simplify right side
    443.54x = 157,299.61
  5. Step 5: Solve for x
    x = 157,299.61/443.54
  6. Step 6: Final answer
    x = 354.65

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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.