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Finding the Fourth Proportional to 505.15, 696.78 and 328.05

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Solution

The fourth proportional to 505.15, 696.78 and 328.05 is: 452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.15 : 696.78 = 328.05 : x
  2. Step 2: Convert to fraction form
    505.15/696.78 = 328.05/x
  3. Step 3: Cross multiply
    505.15x = 696.78 × 328.05
  4. Step 4: Simplify right side
    505.15x = 228,578.68
  5. Step 5: Solve for x
    x = 228,578.68/505.15
  6. Step 6: Final answer
    x = 452.50

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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.