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Finding the Fourth Proportional to 608.82, 913.59 and 284.28

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Solution

The fourth proportional to 608.82, 913.59 and 284.28 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.82 : 913.59 = 284.28 : x
  2. Step 2: Convert to fraction form
    608.82/913.59 = 284.28/x
  3. Step 3: Cross multiply
    608.82x = 913.59 × 284.28
  4. Step 4: Simplify right side
    608.82x = 259,715.37
  5. Step 5: Solve for x
    x = 259,715.37/608.82
  6. Step 6: Final answer
    x = 426.59

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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.