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Finding the Fourth Proportional to 319.72, 478.65 and 237.10

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Solution

The fourth proportional to 319.72, 478.65 and 237.10 is: 354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 478.65 = 237.10 : x
  2. Step 2: Convert to fraction form
    319.72/478.65 = 237.10/x
  3. Step 3: Cross multiply
    319.72x = 478.65 × 237.10
  4. Step 4: Simplify right side
    319.72x = 113,487.92
  5. Step 5: Solve for x
    x = 113,487.92/319.72
  6. Step 6: Final answer
    x = 354.96

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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.