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Finding the Fourth Proportional to 715.09, 986.82 and 404.59

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Solution

The fourth proportional to 715.09, 986.82 and 404.59 is: 558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.09 : 986.82 = 404.59 : x
  2. Step 2: Convert to fraction form
    715.09/986.82 = 404.59/x
  3. Step 3: Cross multiply
    715.09x = 986.82 × 404.59
  4. Step 4: Simplify right side
    715.09x = 399,257.50
  5. Step 5: Solve for x
    x = 399,257.50/715.09
  6. Step 6: Final answer
    x = 558.33

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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.