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Finding the Fourth Proportional to 471.60, 706.01 and 350.42

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Solution

The fourth proportional to 471.60, 706.01 and 350.42 is: 524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.60 : 706.01 = 350.42 : x
  2. Step 2: Convert to fraction form
    471.60/706.01 = 350.42/x
  3. Step 3: Cross multiply
    471.60x = 706.01 × 350.42
  4. Step 4: Simplify right side
    471.60x = 247,394.74
  5. Step 5: Solve for x
    x = 247,394.74/471.60
  6. Step 6: Final answer
    x = 524.59

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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.