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Finding the Fourth Proportional to 607.40, 911.38 and 282.82

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Solution

The fourth proportional to 607.40, 911.38 and 282.82 is: 424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.40 : 911.38 = 282.82 : x
  2. Step 2: Convert to fraction form
    607.40/911.38 = 282.82/x
  3. Step 3: Cross multiply
    607.40x = 911.38 × 282.82
  4. Step 4: Simplify right side
    607.40x = 257,756.49
  5. Step 5: Solve for x
    x = 257,756.49/607.40
  6. Step 6: Final answer
    x = 424.36

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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.