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Finding the Fourth Proportional to 923.12, 1,383.30 and 402.66

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Solution

The fourth proportional to 923.12, 1,383.30 and 402.66 is: 603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.12 : 1,383.30 = 402.66 : x
  2. Step 2: Convert to fraction form
    923.12/1,383.30 = 402.66/x
  3. Step 3: Cross multiply
    923.12x = 1,383.30 × 402.66
  4. Step 4: Simplify right side
    923.12x = 556,999.58
  5. Step 5: Solve for x
    x = 556,999.58/923.12
  6. Step 6: Final answer
    x = 603.39

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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.