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Finding the Fourth Proportional to 606.88, 910.32 and 365.12

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Solution

The fourth proportional to 606.88, 910.32 and 365.12 is: 547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.88 : 910.32 = 365.12 : x
  2. Step 2: Convert to fraction form
    606.88/910.32 = 365.12/x
  3. Step 3: Cross multiply
    606.88x = 910.32 × 365.12
  4. Step 4: Simplify right side
    606.88x = 332,376.04
  5. Step 5: Solve for x
    x = 332,376.04/606.88
  6. Step 6: Final answer
    x = 547.68

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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.