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Finding the Fourth Proportional to 474.46, 709.56 and 309.49

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Solution

The fourth proportional to 474.46, 709.56 and 309.49 is: 462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.46 : 709.56 = 309.49 : x
  2. Step 2: Convert to fraction form
    474.46/709.56 = 309.49/x
  3. Step 3: Cross multiply
    474.46x = 709.56 × 309.49
  4. Step 4: Simplify right side
    474.46x = 219,599.95
  5. Step 5: Solve for x
    x = 219,599.95/474.46
  6. Step 6: Final answer
    x = 462.84

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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.