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Finding the Fourth Proportional to 474.94, 712.68 and 312.70

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Solution

The fourth proportional to 474.94, 712.68 and 312.70 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.94 : 712.68 = 312.70 : x
  2. Step 2: Convert to fraction form
    474.94/712.68 = 312.70/x
  3. Step 3: Cross multiply
    474.94x = 712.68 × 312.70
  4. Step 4: Simplify right side
    474.94x = 222,855.04
  5. Step 5: Solve for x
    x = 222,855.04/474.94
  6. Step 6: Final answer
    x = 469.23

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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.