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Finding the Fourth Proportional to 929.52, 1,394.28 and 416.52

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Solution

The fourth proportional to 929.52, 1,394.28 and 416.52 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.52 : 1,394.28 = 416.52 : x
  2. Step 2: Convert to fraction form
    929.52/1,394.28 = 416.52/x
  3. Step 3: Cross multiply
    929.52x = 1,394.28 × 416.52
  4. Step 4: Simplify right side
    929.52x = 580,745.51
  5. Step 5: Solve for x
    x = 580,745.51/929.52
  6. Step 6: Final answer
    x = 624.78

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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.