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Finding the Fourth Proportional to 420.89, 631.64 and 238.64

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Solution

The fourth proportional to 420.89, 631.64 and 238.64 is: 358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.89 : 631.64 = 238.64 : x
  2. Step 2: Convert to fraction form
    420.89/631.64 = 238.64/x
  3. Step 3: Cross multiply
    420.89x = 631.64 × 238.64
  4. Step 4: Simplify right side
    420.89x = 150,734.38
  5. Step 5: Solve for x
    x = 150,734.38/420.89
  6. Step 6: Final answer
    x = 358.13

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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.