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Finding the Fourth Proportional to 608.46, 913.05 and 319.92

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Solution

The fourth proportional to 608.46, 913.05 and 319.92 is: 480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.46 : 913.05 = 319.92 : x
  2. Step 2: Convert to fraction form
    608.46/913.05 = 319.92/x
  3. Step 3: Cross multiply
    608.46x = 913.05 × 319.92
  4. Step 4: Simplify right side
    608.46x = 292,102.96
  5. Step 5: Solve for x
    x = 292,102.96/608.46
  6. Step 6: Final answer
    x = 480.07

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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.