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Finding the Fourth Proportional to 609.04, 909.11 and 536.14

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Solution

The fourth proportional to 609.04, 909.11 and 536.14 is: 800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.04 : 909.11 = 536.14 : x
  2. Step 2: Convert to fraction form
    609.04/909.11 = 536.14/x
  3. Step 3: Cross multiply
    609.04x = 909.11 × 536.14
  4. Step 4: Simplify right side
    609.04x = 487,410.24
  5. Step 5: Solve for x
    x = 487,410.24/609.04
  6. Step 6: Final answer
    x = 800.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.