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Finding the Fourth Proportional to 650.02, 975.14 and 239.06

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Solution

The fourth proportional to 650.02, 975.14 and 239.06 is: 358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 975.14 = 239.06 : x
  2. Step 2: Convert to fraction form
    650.02/975.14 = 239.06/x
  3. Step 3: Cross multiply
    650.02x = 975.14 × 239.06
  4. Step 4: Simplify right side
    650.02x = 233,116.97
  5. Step 5: Solve for x
    x = 233,116.97/650.02
  6. Step 6: Final answer
    x = 358.63

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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.