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Finding the Fourth Proportional to 301.95, 450.37 and 292.83

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Solution

The fourth proportional to 301.95, 450.37 and 292.83 is: 436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.95 : 450.37 = 292.83 : x
  2. Step 2: Convert to fraction form
    301.95/450.37 = 292.83/x
  3. Step 3: Cross multiply
    301.95x = 450.37 × 292.83
  4. Step 4: Simplify right side
    301.95x = 131,881.85
  5. Step 5: Solve for x
    x = 131,881.85/301.95
  6. Step 6: Final answer
    x = 436.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.