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Finding the Fourth Proportional to 608.24, 839.76 and 531.02

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Solution

The fourth proportional to 608.24, 839.76 and 531.02 is: 733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.24 : 839.76 = 531.02 : x
  2. Step 2: Convert to fraction form
    608.24/839.76 = 531.02/x
  3. Step 3: Cross multiply
    608.24x = 839.76 × 531.02
  4. Step 4: Simplify right side
    608.24x = 445,929.36
  5. Step 5: Solve for x
    x = 445,929.36/608.24
  6. Step 6: Final answer
    x = 733.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.