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Finding the Fourth Proportional to 301.15, 452.63 and 294.77

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Solution

The fourth proportional to 301.15, 452.63 and 294.77 is: 443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.15 : 452.63 = 294.77 : x
  2. Step 2: Convert to fraction form
    301.15/452.63 = 294.77/x
  3. Step 3: Cross multiply
    301.15x = 452.63 × 294.77
  4. Step 4: Simplify right side
    301.15x = 133,421.75
  5. Step 5: Solve for x
    x = 133,421.75/301.15
  6. Step 6: Final answer
    x = 443.04

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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.