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Finding the Fourth Proportional to 669.84, 1,005.02 and 396.02

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Solution

The fourth proportional to 669.84, 1,005.02 and 396.02 is: 594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.84 : 1,005.02 = 396.02 : x
  2. Step 2: Convert to fraction form
    669.84/1,005.02 = 396.02/x
  3. Step 3: Cross multiply
    669.84x = 1,005.02 × 396.02
  4. Step 4: Simplify right side
    669.84x = 398,001.02
  5. Step 5: Solve for x
    x = 398,001.02/669.84
  6. Step 6: Final answer
    x = 594.17

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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.