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Finding the Fourth Proportional to 929.78, 1,394.35 and 271.48

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Solution

The fourth proportional to 929.78, 1,394.35 and 271.48 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.78 : 1,394.35 = 271.48 : x
  2. Step 2: Convert to fraction form
    929.78/1,394.35 = 271.48/x
  3. Step 3: Cross multiply
    929.78x = 1,394.35 × 271.48
  4. Step 4: Simplify right side
    929.78x = 378,538.14
  5. Step 5: Solve for x
    x = 378,538.14/929.78
  6. Step 6: Final answer
    x = 407.13

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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.