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Finding the Fourth Proportional to 403.76, 557.06 and 246.48

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Solution

The fourth proportional to 403.76, 557.06 and 246.48 is: 340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.76 : 557.06 = 246.48 : x
  2. Step 2: Convert to fraction form
    403.76/557.06 = 246.48/x
  3. Step 3: Cross multiply
    403.76x = 557.06 × 246.48
  4. Step 4: Simplify right side
    403.76x = 137,304.15
  5. Step 5: Solve for x
    x = 137,304.15/403.76
  6. Step 6: Final answer
    x = 340.06

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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.