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Finding the Fourth Proportional to 405.14, 558.86 and 247.72

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Solution

The fourth proportional to 405.14, 558.86 and 247.72 is: 341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.14 : 558.86 = 247.72 : x
  2. Step 2: Convert to fraction form
    405.14/558.86 = 247.72/x
  3. Step 3: Cross multiply
    405.14x = 558.86 × 247.72
  4. Step 4: Simplify right side
    405.14x = 138,440.80
  5. Step 5: Solve for x
    x = 138,440.80/405.14
  6. Step 6: Final answer
    x = 341.71

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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.