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Finding the Fourth Proportional to 708.98, 978.32 and 414.23

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Solution

The fourth proportional to 708.98, 978.32 and 414.23 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.98 : 978.32 = 414.23 : x
  2. Step 2: Convert to fraction form
    708.98/978.32 = 414.23/x
  3. Step 3: Cross multiply
    708.98x = 978.32 × 414.23
  4. Step 4: Simplify right side
    708.98x = 405,247.42
  5. Step 5: Solve for x
    x = 405,247.42/708.98
  6. Step 6: Final answer
    x = 571.59

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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.