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Finding the Fourth Proportional to 930.90, 1,395.80 and 382.46

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Solution

The fourth proportional to 930.90, 1,395.80 and 382.46 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.90 : 1,395.80 = 382.46 : x
  2. Step 2: Convert to fraction form
    930.90/1,395.80 = 382.46/x
  3. Step 3: Cross multiply
    930.90x = 1,395.80 × 382.46
  4. Step 4: Simplify right side
    930.90x = 533,835.13
  5. Step 5: Solve for x
    x = 533,835.13/930.90
  6. Step 6: Final answer
    x = 573.46

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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.