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Finding the Fourth Proportional to 708.79, 977.61 and 414.04

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Solution

The fourth proportional to 708.79, 977.61 and 414.04 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.79 : 977.61 = 414.04 : x
  2. Step 2: Convert to fraction form
    708.79/977.61 = 414.04/x
  3. Step 3: Cross multiply
    708.79x = 977.61 × 414.04
  4. Step 4: Simplify right side
    708.79x = 404,769.64
  5. Step 5: Solve for x
    x = 404,769.64/708.79
  6. Step 6: Final answer
    x = 571.07

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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.