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Finding the Fourth Proportional to 330.27, 455.20 and 285.93

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Solution

The fourth proportional to 330.27, 455.20 and 285.93 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.27 : 455.20 = 285.93 : x
  2. Step 2: Convert to fraction form
    330.27/455.20 = 285.93/x
  3. Step 3: Cross multiply
    330.27x = 455.20 × 285.93
  4. Step 4: Simplify right side
    330.27x = 130,153.06
  5. Step 5: Solve for x
    x = 130,153.06/330.27
  6. Step 6: Final answer
    x = 394.08

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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.