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Finding the Fourth Proportional to 305.76, 421.02 and 256.44

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Solution

The fourth proportional to 305.76, 421.02 and 256.44 is: 353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 421.02 = 256.44 : x
  2. Step 2: Convert to fraction form
    305.76/421.02 = 256.44/x
  3. Step 3: Cross multiply
    305.76x = 421.02 × 256.44
  4. Step 4: Simplify right side
    305.76x = 107,966.37
  5. Step 5: Solve for x
    x = 107,966.37/305.76
  6. Step 6: Final answer
    x = 353.11

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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.