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Finding the Fourth Proportional to 715.44, 986.97 and 420.50

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Solution

The fourth proportional to 715.44, 986.97 and 420.50 is: 580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.44 : 986.97 = 420.50 : x
  2. Step 2: Convert to fraction form
    715.44/986.97 = 420.50/x
  3. Step 3: Cross multiply
    715.44x = 986.97 × 420.50
  4. Step 4: Simplify right side
    715.44x = 415,019.38
  5. Step 5: Solve for x
    x = 415,019.38/715.44
  6. Step 6: Final answer
    x = 580.09

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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.