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Finding the Fourth Proportional to 420.48, 631.74 and 343.94

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Solution

The fourth proportional to 420.48, 631.74 and 343.94 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 631.74 = 343.94 : x
  2. Step 2: Convert to fraction form
    420.48/631.74 = 343.94/x
  3. Step 3: Cross multiply
    420.48x = 631.74 × 343.94
  4. Step 4: Simplify right side
    420.48x = 217,277.50
  5. Step 5: Solve for x
    x = 217,277.50/420.48
  6. Step 6: Final answer
    x = 516.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.