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Finding the Fourth Proportional to 514.16, 708.60 and 366.80

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Solution

The fourth proportional to 514.16, 708.60 and 366.80 is: 505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.16 : 708.60 = 366.80 : x
  2. Step 2: Convert to fraction form
    514.16/708.60 = 366.80/x
  3. Step 3: Cross multiply
    514.16x = 708.60 × 366.80
  4. Step 4: Simplify right side
    514.16x = 259,914.48
  5. Step 5: Solve for x
    x = 259,914.48/514.16
  6. Step 6: Final answer
    x = 505.51

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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.