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Finding the Fourth Proportional to 709.08, 978.24 and 414.24

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Solution

The fourth proportional to 709.08, 978.24 and 414.24 is: 571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.08 : 978.24 = 414.24 : x
  2. Step 2: Convert to fraction form
    709.08/978.24 = 414.24/x
  3. Step 3: Cross multiply
    709.08x = 978.24 × 414.24
  4. Step 4: Simplify right side
    709.08x = 405,226.14
  5. Step 5: Solve for x
    x = 405,226.14/709.08
  6. Step 6: Final answer
    x = 571.48

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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.