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Finding the Fourth Proportional to 715, 986.84 and 404.50

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Solution

The fourth proportional to 715, 986.84 and 404.50 is: 558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    715 : 986.84 = 404.50 : x
  2. Step 2: Convert to fraction form
    715/986.84 = 404.50/x
  3. Step 3: Cross multiply
    715x = 986.84 × 404.50
  4. Step 4: Simplify right side
    715x = 399,174.76
  5. Step 5: Solve for x
    x = 399,174.76/715
  6. Step 6: Final answer
    x = 558.29

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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.