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Finding the Fourth Proportional to 602.94, 832.11 and 354.18

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Solution

The fourth proportional to 602.94, 832.11 and 354.18 is: 488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 832.11 = 354.18 : x
  2. Step 2: Convert to fraction form
    602.94/832.11 = 354.18/x
  3. Step 3: Cross multiply
    602.94x = 832.11 × 354.18
  4. Step 4: Simplify right side
    602.94x = 294,716.72
  5. Step 5: Solve for x
    x = 294,716.72/602.94
  6. Step 6: Final answer
    x = 488.80

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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.