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Finding the Fourth Proportional to 929.33, 1,394.69 and 344.68

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Solution

The fourth proportional to 929.33, 1,394.69 and 344.68 is: 517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.33 : 1,394.69 = 344.68 : x
  2. Step 2: Convert to fraction form
    929.33/1,394.69 = 344.68/x
  3. Step 3: Cross multiply
    929.33x = 1,394.69 × 344.68
  4. Step 4: Simplify right side
    929.33x = 480,720.03
  5. Step 5: Solve for x
    x = 480,720.03/929.33
  6. Step 6: Final answer
    x = 517.28

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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.