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Finding the Fourth Proportional to 607.46, 911.49 and 282.78

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Solution

The fourth proportional to 607.46, 911.49 and 282.78 is: 424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.46 : 911.49 = 282.78 : x
  2. Step 2: Convert to fraction form
    607.46/911.49 = 282.78/x
  3. Step 3: Cross multiply
    607.46x = 911.49 × 282.78
  4. Step 4: Simplify right side
    607.46x = 257,750.08
  5. Step 5: Solve for x
    x = 257,750.08/607.46
  6. Step 6: Final answer
    x = 424.31

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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.