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Finding the Fourth Proportional to 472.22, 706.46 and 317.42

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Solution

The fourth proportional to 472.22, 706.46 and 317.42 is: 474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.22 : 706.46 = 317.42 : x
  2. Step 2: Convert to fraction form
    472.22/706.46 = 317.42/x
  3. Step 3: Cross multiply
    472.22x = 706.46 × 317.42
  4. Step 4: Simplify right side
    472.22x = 224,244.53
  5. Step 5: Solve for x
    x = 224,244.53/472.22
  6. Step 6: Final answer
    x = 474.87

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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.