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Finding the Fourth Proportional to 608.32, 912.80 and 261.57

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Solution

The fourth proportional to 608.32, 912.80 and 261.57 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.32 : 912.80 = 261.57 : x
  2. Step 2: Convert to fraction form
    608.32/912.80 = 261.57/x
  3. Step 3: Cross multiply
    608.32x = 912.80 × 261.57
  4. Step 4: Simplify right side
    608.32x = 238,761.10
  5. Step 5: Solve for x
    x = 238,761.10/608.32
  6. Step 6: Final answer
    x = 392.49

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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.