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Finding the Fourth Proportional to 608.16, 912.25 and 261.47

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Solution

The fourth proportional to 608.16, 912.25 and 261.47 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.16 : 912.25 = 261.47 : x
  2. Step 2: Convert to fraction form
    608.16/912.25 = 261.47/x
  3. Step 3: Cross multiply
    608.16x = 912.25 × 261.47
  4. Step 4: Simplify right side
    608.16x = 238,524.70
  5. Step 5: Solve for x
    x = 238,524.70/608.16
  6. Step 6: Final answer
    x = 392.21

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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.