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Finding the Fourth Proportional to 929.36, 1,393.84 and 381.40

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Solution

The fourth proportional to 929.36, 1,393.84 and 381.40 is: 572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.36 : 1,393.84 = 381.40 : x
  2. Step 2: Convert to fraction form
    929.36/1,393.84 = 381.40/x
  3. Step 3: Cross multiply
    929.36x = 1,393.84 × 381.40
  4. Step 4: Simplify right side
    929.36x = 531,610.58
  5. Step 5: Solve for x
    x = 531,610.58/929.36
  6. Step 6: Final answer
    x = 572.02

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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.