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Finding the Fourth Proportional to 608.56, 912.85 and 315.97

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Solution

The fourth proportional to 608.56, 912.85 and 315.97 is: 473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.56 : 912.85 = 315.97 : x
  2. Step 2: Convert to fraction form
    608.56/912.85 = 315.97/x
  3. Step 3: Cross multiply
    608.56x = 912.85 × 315.97
  4. Step 4: Simplify right side
    608.56x = 288,430.14
  5. Step 5: Solve for x
    x = 288,430.14/608.56
  6. Step 6: Final answer
    x = 473.96

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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.