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Finding the Fourth Proportional to 606.59, 910.11 and 538.62

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Solution

The fourth proportional to 606.59, 910.11 and 538.62 is: 808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.59 : 910.11 = 538.62 : x
  2. Step 2: Convert to fraction form
    606.59/910.11 = 538.62/x
  3. Step 3: Cross multiply
    606.59x = 910.11 × 538.62
  4. Step 4: Simplify right side
    606.59x = 490,208.22
  5. Step 5: Solve for x
    x = 490,208.22/606.59
  6. Step 6: Final answer
    x = 808.14

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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.