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Finding the Fourth Proportional to 603.54, 833.13 and 416.97

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Solution

The fourth proportional to 603.54, 833.13 and 416.97 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 833.13 = 416.97 : x
  2. Step 2: Convert to fraction form
    603.54/833.13 = 416.97/x
  3. Step 3: Cross multiply
    603.54x = 833.13 × 416.97
  4. Step 4: Simplify right side
    603.54x = 347,390.22
  5. Step 5: Solve for x
    x = 347,390.22/603.54
  6. Step 6: Final answer
    x = 575.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.