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Finding the Fourth Proportional to 606.44, 909.05 and 260.00

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Solution

The fourth proportional to 606.44, 909.05 and 260.00 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.44 : 909.05 = 260.00 : x
  2. Step 2: Convert to fraction form
    606.44/909.05 = 260.00/x
  3. Step 3: Cross multiply
    606.44x = 909.05 × 260.00
  4. Step 4: Simplify right side
    606.44x = 236,347.15
  5. Step 5: Solve for x
    x = 236,347.15/606.44
  6. Step 6: Final answer
    x = 389.73

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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.