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Finding the Fourth Proportional to 608.16, 911.76 and 319.44

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Solution

The fourth proportional to 608.16, 911.76 and 319.44 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.16 : 911.76 = 319.44 : x
  2. Step 2: Convert to fraction form
    608.16/911.76 = 319.44/x
  3. Step 3: Cross multiply
    608.16x = 911.76 × 319.44
  4. Step 4: Simplify right side
    608.16x = 291,252.61
  5. Step 5: Solve for x
    x = 291,252.61/608.16
  6. Step 6: Final answer
    x = 478.91

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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.