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Finding the Fourth Proportional to 929.06, 1,392.66 and 380.48

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Solution

The fourth proportional to 929.06, 1,392.66 and 380.48 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.06 : 1,392.66 = 380.48 : x
  2. Step 2: Convert to fraction form
    929.06/1,392.66 = 380.48/x
  3. Step 3: Cross multiply
    929.06x = 1,392.66 × 380.48
  4. Step 4: Simplify right side
    929.06x = 529,872.31
  5. Step 5: Solve for x
    x = 529,872.31/929.06
  6. Step 6: Final answer
    x = 570.33

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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.