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Finding the Fourth Proportional to 709.42, 978.69 and 414.58

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Solution

The fourth proportional to 709.42, 978.69 and 414.58 is: 571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.42 : 978.69 = 414.58 : x
  2. Step 2: Convert to fraction form
    709.42/978.69 = 414.58/x
  3. Step 3: Cross multiply
    709.42x = 978.69 × 414.58
  4. Step 4: Simplify right side
    709.42x = 405,745.30
  5. Step 5: Solve for x
    x = 405,745.30/709.42
  6. Step 6: Final answer
    x = 571.94

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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.