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Finding the Fourth Proportional to 557.44, 835.84 and 471.68

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Solution

The fourth proportional to 557.44, 835.84 and 471.68 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 835.84 = 471.68 : x
  2. Step 2: Convert to fraction form
    557.44/835.84 = 471.68/x
  3. Step 3: Cross multiply
    557.44x = 835.84 × 471.68
  4. Step 4: Simplify right side
    557.44x = 394,249.01
  5. Step 5: Solve for x
    x = 394,249.01/557.44
  6. Step 6: Final answer
    x = 707.25

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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.