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Finding the Fourth Proportional to 443.47, 612.03 and 256.95

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Solution

The fourth proportional to 443.47, 612.03 and 256.95 is: 354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.47 : 612.03 = 256.95 : x
  2. Step 2: Convert to fraction form
    443.47/612.03 = 256.95/x
  3. Step 3: Cross multiply
    443.47x = 612.03 × 256.95
  4. Step 4: Simplify right side
    443.47x = 157,261.11
  5. Step 5: Solve for x
    x = 157,261.11/443.47
  6. Step 6: Final answer
    x = 354.62

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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.