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Finding the Fourth Proportional to 715.12, 986.79 and 420.33

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Solution

The fourth proportional to 715.12, 986.79 and 420.33 is: 580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.12 : 986.79 = 420.33 : x
  2. Step 2: Convert to fraction form
    715.12/986.79 = 420.33/x
  3. Step 3: Cross multiply
    715.12x = 986.79 × 420.33
  4. Step 4: Simplify right side
    715.12x = 414,782.72
  5. Step 5: Solve for x
    x = 414,782.72/715.12
  6. Step 6: Final answer
    x = 580.02

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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.