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Finding the Fourth Proportional to 650.60, 975.90 and 442.70

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Solution

The fourth proportional to 650.60, 975.90 and 442.70 is: 664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.60 : 975.90 = 442.70 : x
  2. Step 2: Convert to fraction form
    650.60/975.90 = 442.70/x
  3. Step 3: Cross multiply
    650.60x = 975.90 × 442.70
  4. Step 4: Simplify right side
    650.60x = 432,030.93
  5. Step 5: Solve for x
    x = 432,030.93/650.60
  6. Step 6: Final answer
    x = 664.05

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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.