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Finding the Fourth Proportional to 303.75, 455.63 and 75.75

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Solution

The fourth proportional to 303.75, 455.63 and 75.75 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.75 : 455.63 = 75.75 : x
  2. Step 2: Convert to fraction form
    303.75/455.63 = 75.75/x
  3. Step 3: Cross multiply
    303.75x = 455.63 × 75.75
  4. Step 4: Simplify right side
    303.75x = 34,513.59
  5. Step 5: Solve for x
    x = 34,513.59/303.75
  6. Step 6: Final answer
    x = 113.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.