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Finding the Fourth Proportional to 650.88, 975.02 and 444.94

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Solution

The fourth proportional to 650.88, 975.02 and 444.94 is: 666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.88 : 975.02 = 444.94 : x
  2. Step 2: Convert to fraction form
    650.88/975.02 = 444.94/x
  3. Step 3: Cross multiply
    650.88x = 975.02 × 444.94
  4. Step 4: Simplify right side
    650.88x = 433,824.07
  5. Step 5: Solve for x
    x = 433,824.07/650.88
  6. Step 6: Final answer
    x = 666.52

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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.