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Finding the Fourth Proportional to 390.12, 584.06 and 382.52

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Solution

The fourth proportional to 390.12, 584.06 and 382.52 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.12 : 584.06 = 382.52 : x
  2. Step 2: Convert to fraction form
    390.12/584.06 = 382.52/x
  3. Step 3: Cross multiply
    390.12x = 584.06 × 382.52
  4. Step 4: Simplify right side
    390.12x = 223,414.63
  5. Step 5: Solve for x
    x = 223,414.63/390.12
  6. Step 6: Final answer
    x = 572.68

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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.