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Finding the Fourth Proportional to 569.96, 785.62 and 445.41

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Solution

The fourth proportional to 569.96, 785.62 and 445.41 is: 613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.96 : 785.62 = 445.41 : x
  2. Step 2: Convert to fraction form
    569.96/785.62 = 445.41/x
  3. Step 3: Cross multiply
    569.96x = 785.62 × 445.41
  4. Step 4: Simplify right side
    569.96x = 349,923.00
  5. Step 5: Solve for x
    x = 349,923.00/569.96
  6. Step 6: Final answer
    x = 613.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.