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Finding the Fourth Proportional to 923.96, 1,385.94 and 230.63

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Solution

The fourth proportional to 923.96, 1,385.94 and 230.63 is: 345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.96 : 1,385.94 = 230.63 : x
  2. Step 2: Convert to fraction form
    923.96/1,385.94 = 230.63/x
  3. Step 3: Cross multiply
    923.96x = 1,385.94 × 230.63
  4. Step 4: Simplify right side
    923.96x = 319,639.34
  5. Step 5: Solve for x
    x = 319,639.34/923.96
  6. Step 6: Final answer
    x = 345.95

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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.