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Finding the Fourth Proportional to 421.46, 581.45 and 246.71

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Solution

The fourth proportional to 421.46, 581.45 and 246.71 is: 340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.46 : 581.45 = 246.71 : x
  2. Step 2: Convert to fraction form
    421.46/581.45 = 246.71/x
  3. Step 3: Cross multiply
    421.46x = 581.45 × 246.71
  4. Step 4: Simplify right side
    421.46x = 143,446.31
  5. Step 5: Solve for x
    x = 143,446.31/421.46
  6. Step 6: Final answer
    x = 340.35

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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.