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Finding the Fourth Proportional to 390.76, 586.14 and 329.68

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Solution

The fourth proportional to 390.76, 586.14 and 329.68 is: 494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.76 : 586.14 = 329.68 : x
  2. Step 2: Convert to fraction form
    390.76/586.14 = 329.68/x
  3. Step 3: Cross multiply
    390.76x = 586.14 × 329.68
  4. Step 4: Simplify right side
    390.76x = 193,238.64
  5. Step 5: Solve for x
    x = 193,238.64/390.76
  6. Step 6: Final answer
    x = 494.52

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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.