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Finding the Fourth Proportional to 602.96, 832.10 and 354.31

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Solution

The fourth proportional to 602.96, 832.10 and 354.31 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 832.10 = 354.31 : x
  2. Step 2: Convert to fraction form
    602.96/832.10 = 354.31/x
  3. Step 3: Cross multiply
    602.96x = 832.10 × 354.31
  4. Step 4: Simplify right side
    602.96x = 294,818.98
  5. Step 5: Solve for x
    x = 294,818.98/602.96
  6. Step 6: Final answer
    x = 488.95

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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.