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Finding the Fourth Proportional to 606.99, 909.18 and 564.24

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Solution

The fourth proportional to 606.99, 909.18 and 564.24 is: 845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.99 : 909.18 = 564.24 : x
  2. Step 2: Convert to fraction form
    606.99/909.18 = 564.24/x
  3. Step 3: Cross multiply
    606.99x = 909.18 × 564.24
  4. Step 4: Simplify right side
    606.99x = 512,995.72
  5. Step 5: Solve for x
    x = 512,995.72/606.99
  6. Step 6: Final answer
    x = 845.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.