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Finding the Fourth Proportional to 330.15, 455.22 and 292.77

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Solution

The fourth proportional to 330.15, 455.22 and 292.77 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.15 : 455.22 = 292.77 : x
  2. Step 2: Convert to fraction form
    330.15/455.22 = 292.77/x
  3. Step 3: Cross multiply
    330.15x = 455.22 × 292.77
  4. Step 4: Simplify right side
    330.15x = 133,274.76
  5. Step 5: Solve for x
    x = 133,274.76/330.15
  6. Step 6: Final answer
    x = 403.68

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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.