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Finding the Fourth Proportional to 608.81, 913.75 and 284.36

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Solution

The fourth proportional to 608.81, 913.75 and 284.36 is: 426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.81 : 913.75 = 284.36 : x
  2. Step 2: Convert to fraction form
    608.81/913.75 = 284.36/x
  3. Step 3: Cross multiply
    608.81x = 913.75 × 284.36
  4. Step 4: Simplify right side
    608.81x = 259,829.38
  5. Step 5: Solve for x
    x = 259,829.38/608.81
  6. Step 6: Final answer
    x = 426.79

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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.