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Finding the Fourth Proportional to 603.69, 832.89 and 417.21

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Solution

The fourth proportional to 603.69, 832.89 and 417.21 is: 575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.69 : 832.89 = 417.21 : x
  2. Step 2: Convert to fraction form
    603.69/832.89 = 417.21/x
  3. Step 3: Cross multiply
    603.69x = 832.89 × 417.21
  4. Step 4: Simplify right side
    603.69x = 347,490.04
  5. Step 5: Solve for x
    x = 347,490.04/603.69
  6. Step 6: Final answer
    x = 575.61

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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.