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Finding the Fourth Proportional to 606.90, 909.66 and 260.06

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Solution

The fourth proportional to 606.90, 909.66 and 260.06 is: 389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.90 : 909.66 = 260.06 : x
  2. Step 2: Convert to fraction form
    606.90/909.66 = 260.06/x
  3. Step 3: Cross multiply
    606.90x = 909.66 × 260.06
  4. Step 4: Simplify right side
    606.90x = 236,566.18
  5. Step 5: Solve for x
    x = 236,566.18/606.90
  6. Step 6: Final answer
    x = 389.79

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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.