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Finding the Fourth Proportional to 666.35, 919.53 and 367.61

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Solution

The fourth proportional to 666.35, 919.53 and 367.61 is: 507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.35 : 919.53 = 367.61 : x
  2. Step 2: Convert to fraction form
    666.35/919.53 = 367.61/x
  3. Step 3: Cross multiply
    666.35x = 919.53 × 367.61
  4. Step 4: Simplify right side
    666.35x = 338,023.83
  5. Step 5: Solve for x
    x = 338,023.83/666.35
  6. Step 6: Final answer
    x = 507.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.