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Finding the Fourth Proportional to 669.35, 1,004.33 and 344.95

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Solution

The fourth proportional to 669.35, 1,004.33 and 344.95 is: 517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.35 : 1,004.33 = 344.95 : x
  2. Step 2: Convert to fraction form
    669.35/1,004.33 = 344.95/x
  3. Step 3: Cross multiply
    669.35x = 1,004.33 × 344.95
  4. Step 4: Simplify right side
    669.35x = 346,441.99
  5. Step 5: Solve for x
    x = 346,441.99/669.35
  6. Step 6: Final answer
    x = 517.58

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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.