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Finding the Fourth Proportional to 603.07, 832.14 and 354.37

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Solution

The fourth proportional to 603.07, 832.14 and 354.37 is: 488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.07 : 832.14 = 354.37 : x
  2. Step 2: Convert to fraction form
    603.07/832.14 = 354.37/x
  3. Step 3: Cross multiply
    603.07x = 832.14 × 354.37
  4. Step 4: Simplify right side
    603.07x = 294,885.45
  5. Step 5: Solve for x
    x = 294,885.45/603.07
  6. Step 6: Final answer
    x = 488.97

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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.