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Finding the Fourth Proportional to 608.44, 912.71 and 175.63

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Solution

The fourth proportional to 608.44, 912.71 and 175.63 is: 263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.44 : 912.71 = 175.63 : x
  2. Step 2: Convert to fraction form
    608.44/912.71 = 175.63/x
  3. Step 3: Cross multiply
    608.44x = 912.71 × 175.63
  4. Step 4: Simplify right side
    608.44x = 160,299.26
  5. Step 5: Solve for x
    x = 160,299.26/608.44
  6. Step 6: Final answer
    x = 263.46

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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.