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Finding the Fourth Proportional to 474.50, 710.81 and 311.69

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Solution

The fourth proportional to 474.50, 710.81 and 311.69 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 710.81 = 311.69 : x
  2. Step 2: Convert to fraction form
    474.50/710.81 = 311.69/x
  3. Step 3: Cross multiply
    474.50x = 710.81 × 311.69
  4. Step 4: Simplify right side
    474.50x = 221,552.37
  5. Step 5: Solve for x
    x = 221,552.37/474.50
  6. Step 6: Final answer
    x = 466.92

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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.