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Finding the Fourth Proportional to 708.99, 978.42 and 414.20

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Solution

The fourth proportional to 708.99, 978.42 and 414.20 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.99 : 978.42 = 414.20 : x
  2. Step 2: Convert to fraction form
    708.99/978.42 = 414.20/x
  3. Step 3: Cross multiply
    708.99x = 978.42 × 414.20
  4. Step 4: Simplify right side
    708.99x = 405,256.67
  5. Step 5: Solve for x
    x = 405,256.67/708.99
  6. Step 6: Final answer
    x = 571.60

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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.