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Finding the Fourth Proportional to 607.52, 911.05 and 282.66

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Solution

The fourth proportional to 607.52, 911.05 and 282.66 is: 423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.52 : 911.05 = 282.66 : x
  2. Step 2: Convert to fraction form
    607.52/911.05 = 282.66/x
  3. Step 3: Cross multiply
    607.52x = 911.05 × 282.66
  4. Step 4: Simplify right side
    607.52x = 257,513.27
  5. Step 5: Solve for x
    x = 257,513.27/607.52
  6. Step 6: Final answer
    x = 423.88

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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.