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Finding the Fourth Proportional to 421.74, 581.78 and 247.06

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Solution

The fourth proportional to 421.74, 581.78 and 247.06 is: 340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.74 : 581.78 = 247.06 : x
  2. Step 2: Convert to fraction form
    421.74/581.78 = 247.06/x
  3. Step 3: Cross multiply
    421.74x = 581.78 × 247.06
  4. Step 4: Simplify right side
    421.74x = 143,734.57
  5. Step 5: Solve for x
    x = 143,734.57/421.74
  6. Step 6: Final answer
    x = 340.81

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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.