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Finding the Fourth Proportional to 709.21, 978.35 and 414.28

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Solution

The fourth proportional to 709.21, 978.35 and 414.28 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.21 : 978.35 = 414.28 : x
  2. Step 2: Convert to fraction form
    709.21/978.35 = 414.28/x
  3. Step 3: Cross multiply
    709.21x = 978.35 × 414.28
  4. Step 4: Simplify right side
    709.21x = 405,309.99
  5. Step 5: Solve for x
    x = 405,309.99/709.21
  6. Step 6: Final answer
    x = 571.50

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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.