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Finding the Fourth Proportional to 474.16, 710.74 and 311.96

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Solution

The fourth proportional to 474.16, 710.74 and 311.96 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.16 : 710.74 = 311.96 : x
  2. Step 2: Convert to fraction form
    474.16/710.74 = 311.96/x
  3. Step 3: Cross multiply
    474.16x = 710.74 × 311.96
  4. Step 4: Simplify right side
    474.16x = 221,722.45
  5. Step 5: Solve for x
    x = 221,722.45/474.16
  6. Step 6: Final answer
    x = 467.61

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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.