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Finding the Fourth Proportional to 929.37, 1,394.44 and 409.10

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Solution

The fourth proportional to 929.37, 1,394.44 and 409.10 is: 613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.37 : 1,394.44 = 409.10 : x
  2. Step 2: Convert to fraction form
    929.37/1,394.44 = 409.10/x
  3. Step 3: Cross multiply
    929.37x = 1,394.44 × 409.10
  4. Step 4: Simplify right side
    929.37x = 570,465.40
  5. Step 5: Solve for x
    x = 570,465.40/929.37
  6. Step 6: Final answer
    x = 613.82

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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.