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Finding the Fourth Proportional to 929.82, 1,393.89 and 353.10

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Solution

The fourth proportional to 929.82, 1,393.89 and 353.10 is: 529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.82 : 1,393.89 = 353.10 : x
  2. Step 2: Convert to fraction form
    929.82/1,393.89 = 353.10/x
  3. Step 3: Cross multiply
    929.82x = 1,393.89 × 353.10
  4. Step 4: Simplify right side
    929.82x = 492,175.59
  5. Step 5: Solve for x
    x = 492,175.59/929.82
  6. Step 6: Final answer
    x = 529.33

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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.