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Finding the Fourth Proportional to 390.14, 537.60 and 330.94

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Solution

The fourth proportional to 390.14, 537.60 and 330.94 is: 456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.14 : 537.60 = 330.94 : x
  2. Step 2: Convert to fraction form
    390.14/537.60 = 330.94/x
  3. Step 3: Cross multiply
    390.14x = 537.60 × 330.94
  4. Step 4: Simplify right side
    390.14x = 177,913.34
  5. Step 5: Solve for x
    x = 177,913.34/390.14
  6. Step 6: Final answer
    x = 456.02

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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.