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Finding the Fourth Proportional to 650.22, 975.36 and 458.70

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Solution

The fourth proportional to 650.22, 975.36 and 458.70 is: 688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.22 : 975.36 = 458.70 : x
  2. Step 2: Convert to fraction form
    650.22/975.36 = 458.70/x
  3. Step 3: Cross multiply
    650.22x = 975.36 × 458.70
  4. Step 4: Simplify right side
    650.22x = 447,397.63
  5. Step 5: Solve for x
    x = 447,397.63/650.22
  6. Step 6: Final answer
    x = 688.07

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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.