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Finding the Fourth Proportional to 330.07, 455.64 and 232.19

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Solution

The fourth proportional to 330.07, 455.64 and 232.19 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.07 : 455.64 = 232.19 : x
  2. Step 2: Convert to fraction form
    330.07/455.64 = 232.19/x
  3. Step 3: Cross multiply
    330.07x = 455.64 × 232.19
  4. Step 4: Simplify right side
    330.07x = 105,795.05
  5. Step 5: Solve for x
    x = 105,795.05/330.07
  6. Step 6: Final answer
    x = 320.53

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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.