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Finding the Fourth Proportional to 929.94, 1,394.53 and 344.97

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Solution

The fourth proportional to 929.94, 1,394.53 and 344.97 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.94 : 1,394.53 = 344.97 : x
  2. Step 2: Convert to fraction form
    929.94/1,394.53 = 344.97/x
  3. Step 3: Cross multiply
    929.94x = 1,394.53 × 344.97
  4. Step 4: Simplify right side
    929.94x = 481,075.38
  5. Step 5: Solve for x
    x = 481,075.38/929.94
  6. Step 6: Final answer
    x = 517.32

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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.