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Finding the Fourth Proportional to 606.99, 910.64 and 174.14

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Solution

The fourth proportional to 606.99, 910.64 and 174.14 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.99 : 910.64 = 174.14 : x
  2. Step 2: Convert to fraction form
    606.99/910.64 = 174.14/x
  3. Step 3: Cross multiply
    606.99x = 910.64 × 174.14
  4. Step 4: Simplify right side
    606.99x = 158,573.43
  5. Step 5: Solve for x
    x = 158,573.43/606.99
  6. Step 6: Final answer
    x = 261.25

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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.