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Finding the Fourth Proportional to 608.63, 912.94 and 175.78

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Solution

The fourth proportional to 608.63, 912.94 and 175.78 is: 263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.63 : 912.94 = 175.78 : x
  2. Step 2: Convert to fraction form
    608.63/912.94 = 175.78/x
  3. Step 3: Cross multiply
    608.63x = 912.94 × 175.78
  4. Step 4: Simplify right side
    608.63x = 160,477.29
  5. Step 5: Solve for x
    x = 160,477.29/608.63
  6. Step 6: Final answer
    x = 263.67

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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.