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Finding the Fourth Proportional to 474.46, 712.04 and 342.62

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Solution

The fourth proportional to 474.46, 712.04 and 342.62 is: 514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.46 : 712.04 = 342.62 : x
  2. Step 2: Convert to fraction form
    474.46/712.04 = 342.62/x
  3. Step 3: Cross multiply
    474.46x = 712.04 × 342.62
  4. Step 4: Simplify right side
    474.46x = 243,953.87
  5. Step 5: Solve for x
    x = 243,953.87/474.46
  6. Step 6: Final answer
    x = 514.18

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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.