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Finding the Fourth Proportional to 608.76, 912.79 and 261.88

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Solution

The fourth proportional to 608.76, 912.79 and 261.88 is: 392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.76 : 912.79 = 261.88 : x
  2. Step 2: Convert to fraction form
    608.76/912.79 = 261.88/x
  3. Step 3: Cross multiply
    608.76x = 912.79 × 261.88
  4. Step 4: Simplify right side
    608.76x = 239,041.45
  5. Step 5: Solve for x
    x = 239,041.45/608.76
  6. Step 6: Final answer
    x = 392.67

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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.