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Finding the Fourth Proportional to 650.01, 975.15 and 265.26

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Solution

The fourth proportional to 650.01, 975.15 and 265.26 is: 397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.01 : 975.15 = 265.26 : x
  2. Step 2: Convert to fraction form
    650.01/975.15 = 265.26/x
  3. Step 3: Cross multiply
    650.01x = 975.15 × 265.26
  4. Step 4: Simplify right side
    650.01x = 258,668.29
  5. Step 5: Solve for x
    x = 258,668.29/650.01
  6. Step 6: Final answer
    x = 397.95

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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.