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Finding the Fourth Proportional to 390.99, 584.01 and 329.49

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Solution

The fourth proportional to 390.99, 584.01 and 329.49 is: 492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.99 : 584.01 = 329.49 : x
  2. Step 2: Convert to fraction form
    390.99/584.01 = 329.49/x
  3. Step 3: Cross multiply
    390.99x = 584.01 × 329.49
  4. Step 4: Simplify right side
    390.99x = 192,425.45
  5. Step 5: Solve for x
    x = 192,425.45/390.99
  6. Step 6: Final answer
    x = 492.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.