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Finding the Fourth Proportional to 420.78, 630.65 and 238.31

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Solution

The fourth proportional to 420.78, 630.65 and 238.31 is: 357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.78 : 630.65 = 238.31 : x
  2. Step 2: Convert to fraction form
    420.78/630.65 = 238.31/x
  3. Step 3: Cross multiply
    420.78x = 630.65 × 238.31
  4. Step 4: Simplify right side
    420.78x = 150,285.86
  5. Step 5: Solve for x
    x = 150,285.86/420.78
  6. Step 6: Final answer
    x = 357.16

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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.