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Finding the Fourth Proportional to 709.32, 978.64 and 414.38

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Solution

The fourth proportional to 709.32, 978.64 and 414.38 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.32 : 978.64 = 414.38 : x
  2. Step 2: Convert to fraction form
    709.32/978.64 = 414.38/x
  3. Step 3: Cross multiply
    709.32x = 978.64 × 414.38
  4. Step 4: Simplify right side
    709.32x = 405,530.25
  5. Step 5: Solve for x
    x = 405,530.25/709.32
  6. Step 6: Final answer
    x = 571.71

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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.