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Finding the Fourth Proportional to 650.20, 974.90 and 260.26

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Solution

The fourth proportional to 650.20, 974.90 and 260.26 is: 390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.20 : 974.90 = 260.26 : x
  2. Step 2: Convert to fraction form
    650.20/974.90 = 260.26/x
  3. Step 3: Cross multiply
    650.20x = 974.90 × 260.26
  4. Step 4: Simplify right side
    650.20x = 253,727.47
  5. Step 5: Solve for x
    x = 253,727.47/650.20
  6. Step 6: Final answer
    x = 390.23

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1.5x scale

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.