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Finding the Fourth Proportional to 715.08, 986.92 and 416.28

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Solution

The fourth proportional to 715.08, 986.92 and 416.28 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.08 : 986.92 = 416.28 : x
  2. Step 2: Convert to fraction form
    715.08/986.92 = 416.28/x
  3. Step 3: Cross multiply
    715.08x = 986.92 × 416.28
  4. Step 4: Simplify right side
    715.08x = 410,835.06
  5. Step 5: Solve for x
    x = 410,835.06/715.08
  6. Step 6: Final answer
    x = 574.53

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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.