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Finding the Fourth Proportional to 603.03, 832.07 and 416.83

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Solution

The fourth proportional to 603.03, 832.07 and 416.83 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.03 : 832.07 = 416.83 : x
  2. Step 2: Convert to fraction form
    603.03/832.07 = 416.83/x
  3. Step 3: Cross multiply
    603.03x = 832.07 × 416.83
  4. Step 4: Simplify right side
    603.03x = 346,832.26
  5. Step 5: Solve for x
    x = 346,832.26/603.03
  6. Step 6: Final answer
    x = 575.15

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Why These Related Problems?

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