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Finding the Fourth Proportional to 557.45, 834.71 and 447.25

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Solution

The fourth proportional to 557.45, 834.71 and 447.25 is: 669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.45 : 834.71 = 447.25 : x
  2. Step 2: Convert to fraction form
    557.45/834.71 = 447.25/x
  3. Step 3: Cross multiply
    557.45x = 834.71 × 447.25
  4. Step 4: Simplify right side
    557.45x = 373,317.64
  5. Step 5: Solve for x
    x = 373,317.64/557.45
  6. Step 6: Final answer
    x = 669.69

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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.