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Finding the Fourth Proportional to 603.14, 832.10 and 406.34

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Solution

The fourth proportional to 603.14, 832.10 and 406.34 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 832.10 = 406.34 : x
  2. Step 2: Convert to fraction form
    603.14/832.10 = 406.34/x
  3. Step 3: Cross multiply
    603.14x = 832.10 × 406.34
  4. Step 4: Simplify right side
    603.14x = 338,115.51
  5. Step 5: Solve for x
    x = 338,115.51/603.14
  6. Step 6: Final answer
    x = 560.59

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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.