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Finding the Fourth Proportional to 471.33, 706.35 and 422.28

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Solution

The fourth proportional to 471.33, 706.35 and 422.28 is: 632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.33 : 706.35 = 422.28 : x
  2. Step 2: Convert to fraction form
    471.33/706.35 = 422.28/x
  3. Step 3: Cross multiply
    471.33x = 706.35 × 422.28
  4. Step 4: Simplify right side
    471.33x = 298,277.48
  5. Step 5: Solve for x
    x = 298,277.48/471.33
  6. Step 6: Final answer
    x = 632.84

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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.