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Finding the Fourth Proportional to 851.35, 1,277.15 and 303.49

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Solution

The fourth proportional to 851.35, 1,277.15 and 303.49 is: 455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.35 : 1,277.15 = 303.49 : x
  2. Step 2: Convert to fraction form
    851.35/1,277.15 = 303.49/x
  3. Step 3: Cross multiply
    851.35x = 1,277.15 × 303.49
  4. Step 4: Simplify right side
    851.35x = 387,602.25
  5. Step 5: Solve for x
    x = 387,602.25/851.35
  6. Step 6: Final answer
    x = 455.28

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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.