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Finding the Fourth Proportional to 923.60, 1,384.92 and 346.40

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Solution

The fourth proportional to 923.60, 1,384.92 and 346.40 is: 519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.60 : 1,384.92 = 346.40 : x
  2. Step 2: Convert to fraction form
    923.60/1,384.92 = 346.40/x
  3. Step 3: Cross multiply
    923.60x = 1,384.92 × 346.40
  4. Step 4: Simplify right side
    923.60x = 479,736.29
  5. Step 5: Solve for x
    x = 479,736.29/923.60
  6. Step 6: Final answer
    x = 519.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.