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Finding the Fourth Proportional to 929.50, 1,394.34 and 313.36

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Solution

The fourth proportional to 929.50, 1,394.34 and 313.36 is: 470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.50 : 1,394.34 = 313.36 : x
  2. Step 2: Convert to fraction form
    929.50/1,394.34 = 313.36/x
  3. Step 3: Cross multiply
    929.50x = 1,394.34 × 313.36
  4. Step 4: Simplify right side
    929.50x = 436,930.38
  5. Step 5: Solve for x
    x = 436,930.38/929.50
  6. Step 6: Final answer
    x = 470.07

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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.