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Finding the Fourth Proportional to 709.41, 978.68 and 414.16

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Solution

The fourth proportional to 709.41, 978.68 and 414.16 is: 571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.41 : 978.68 = 414.16 : x
  2. Step 2: Convert to fraction form
    709.41/978.68 = 414.16/x
  3. Step 3: Cross multiply
    709.41x = 978.68 × 414.16
  4. Step 4: Simplify right side
    709.41x = 405,334.20
  5. Step 5: Solve for x
    x = 405,334.20/709.41
  6. Step 6: Final answer
    x = 571.37

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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.