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Finding the Fourth Proportional to 607.65, 911.47 and 282.97

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Solution

The fourth proportional to 607.65, 911.47 and 282.97 is: 424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.65 : 911.47 = 282.97 : x
  2. Step 2: Convert to fraction form
    607.65/911.47 = 282.97/x
  3. Step 3: Cross multiply
    607.65x = 911.47 × 282.97
  4. Step 4: Simplify right side
    607.65x = 257,919.63
  5. Step 5: Solve for x
    x = 257,919.63/607.65
  6. Step 6: Final answer
    x = 424.46

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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.