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Finding the Fourth Proportional to 603.25, 832.16 and 416.84

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Solution

The fourth proportional to 603.25, 832.16 and 416.84 is: 575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.25 : 832.16 = 416.84 : x
  2. Step 2: Convert to fraction form
    603.25/832.16 = 416.84/x
  3. Step 3: Cross multiply
    603.25x = 832.16 × 416.84
  4. Step 4: Simplify right side
    603.25x = 346,874.46
  5. Step 5: Solve for x
    x = 346,874.46/603.25
  6. Step 6: Final answer
    x = 575.01

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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.