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Finding the Fourth Proportional to 608.46, 912.78 and 175.62

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Solution

The fourth proportional to 608.46, 912.78 and 175.62 is: 263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.46 : 912.78 = 175.62 : x
  2. Step 2: Convert to fraction form
    608.46/912.78 = 175.62/x
  3. Step 3: Cross multiply
    608.46x = 912.78 × 175.62
  4. Step 4: Simplify right side
    608.46x = 160,302.42
  5. Step 5: Solve for x
    x = 160,302.42/608.46
  6. Step 6: Final answer
    x = 263.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.