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Finding the Fourth Proportional to 930.03, 1,394.91 and 442.95

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Solution

The fourth proportional to 930.03, 1,394.91 and 442.95 is: 664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.03 : 1,394.91 = 442.95 : x
  2. Step 2: Convert to fraction form
    930.03/1,394.91 = 442.95/x
  3. Step 3: Cross multiply
    930.03x = 1,394.91 × 442.95
  4. Step 4: Simplify right side
    930.03x = 617,875.38
  5. Step 5: Solve for x
    x = 617,875.38/930.03
  6. Step 6: Final answer
    x = 664.36

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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.