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Finding the Fourth Proportional to 471.42, 705.78 and 445.77

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Solution

The fourth proportional to 471.42, 705.78 and 445.77 is: 667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.42 : 705.78 = 445.77 : x
  2. Step 2: Convert to fraction form
    471.42/705.78 = 445.77/x
  3. Step 3: Cross multiply
    471.42x = 705.78 × 445.77
  4. Step 4: Simplify right side
    471.42x = 314,615.55
  5. Step 5: Solve for x
    x = 314,615.55/471.42
  6. Step 6: Final answer
    x = 667.38

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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.