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Finding the Fourth Proportional to 715.44, 986.86 and 420.64

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Solution

The fourth proportional to 715.44, 986.86 and 420.64 is: 580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.44 : 986.86 = 420.64 : x
  2. Step 2: Convert to fraction form
    715.44/986.86 = 420.64/x
  3. Step 3: Cross multiply
    715.44x = 986.86 × 420.64
  4. Step 4: Simplify right side
    715.44x = 415,112.79
  5. Step 5: Solve for x
    x = 415,112.79/715.44
  6. Step 6: Final answer
    x = 580.22

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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.