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Finding the Fourth Proportional to 602.10, 902.34 and 342.12

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Solution

The fourth proportional to 602.10, 902.34 and 342.12 is: 512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 902.34 = 342.12 : x
  2. Step 2: Convert to fraction form
    602.10/902.34 = 342.12/x
  3. Step 3: Cross multiply
    602.10x = 902.34 × 342.12
  4. Step 4: Simplify right side
    602.10x = 308,708.56
  5. Step 5: Solve for x
    x = 308,708.56/602.10
  6. Step 6: Final answer
    x = 512.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.