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Finding the Fourth Proportional to 608.24, 912.15 and 376.78

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Solution

The fourth proportional to 608.24, 912.15 and 376.78 is: 565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.24 : 912.15 = 376.78 : x
  2. Step 2: Convert to fraction form
    608.24/912.15 = 376.78/x
  3. Step 3: Cross multiply
    608.24x = 912.15 × 376.78
  4. Step 4: Simplify right side
    608.24x = 343,679.88
  5. Step 5: Solve for x
    x = 343,679.88/608.24
  6. Step 6: Final answer
    x = 565.04

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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.