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Finding the Fourth Proportional to 443.60, 612.17 and 257.15

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Solution

The fourth proportional to 443.60, 612.17 and 257.15 is: 354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.60 : 612.17 = 257.15 : x
  2. Step 2: Convert to fraction form
    443.60/612.17 = 257.15/x
  3. Step 3: Cross multiply
    443.60x = 612.17 × 257.15
  4. Step 4: Simplify right side
    443.60x = 157,415.17
  5. Step 5: Solve for x
    x = 157,415.17/443.60
  6. Step 6: Final answer
    x = 354.86

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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.