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Finding the Fourth Proportional to 608, 912.32 and 266.08

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Solution

The fourth proportional to 608, 912.32 and 266.08 is: 399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    608 : 912.32 = 266.08 : x
  2. Step 2: Convert to fraction form
    608/912.32 = 266.08/x
  3. Step 3: Cross multiply
    608x = 912.32 × 266.08
  4. Step 4: Simplify right side
    608x = 242,750.11
  5. Step 5: Solve for x
    x = 242,750.11/608
  6. Step 6: Final answer
    x = 399.26

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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.