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Finding the Fourth Proportional to 433.06, 650.40 and 260.26

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Solution

The fourth proportional to 433.06, 650.40 and 260.26 is: 390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.06 : 650.40 = 260.26 : x
  2. Step 2: Convert to fraction form
    433.06/650.40 = 260.26/x
  3. Step 3: Cross multiply
    433.06x = 650.40 × 260.26
  4. Step 4: Simplify right side
    433.06x = 169,273.10
  5. Step 5: Solve for x
    x = 169,273.10/433.06
  6. Step 6: Final answer
    x = 390.88

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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.