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Finding the Fourth Proportional to 607.81, 911.30 and 283

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Solution

The fourth proportional to 607.81, 911.30 and 283 is: 424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.81 : 911.30 = 283 : x
  2. Step 2: Convert to fraction form
    607.81/911.30 = 283/x
  3. Step 3: Cross multiply
    607.81x = 911.30 × 283
  4. Step 4: Simplify right side
    607.81x = 257,897.90
  5. Step 5: Solve for x
    x = 257,897.90/607.81
  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.