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Finding the Fourth Proportional to 929.60, 1,394.60 and 280.28

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Solution

The fourth proportional to 929.60, 1,394.60 and 280.28 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,394.60 = 280.28 : x
  2. Step 2: Convert to fraction form
    929.60/1,394.60 = 280.28/x
  3. Step 3: Cross multiply
    929.60x = 1,394.60 × 280.28
  4. Step 4: Simplify right side
    929.60x = 390,878.49
  5. Step 5: Solve for x
    x = 390,878.49/929.60
  6. Step 6: Final answer
    x = 420.48

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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.