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Finding the Fourth Proportional to 608.70, 913.32 and 284.31

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Solution

The fourth proportional to 608.70, 913.32 and 284.31 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.70 : 913.32 = 284.31 : x
  2. Step 2: Convert to fraction form
    608.70/913.32 = 284.31/x
  3. Step 3: Cross multiply
    608.70x = 913.32 × 284.31
  4. Step 4: Simplify right side
    608.70x = 259,666.01
  5. Step 5: Solve for x
    x = 259,666.01/608.70
  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.