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Finding the Fourth Proportional to 930.59, 1,395.88 and 382.39

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Solution

The fourth proportional to 930.59, 1,395.88 and 382.39 is: 573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.59 : 1,395.88 = 382.39 : x
  2. Step 2: Convert to fraction form
    930.59/1,395.88 = 382.39/x
  3. Step 3: Cross multiply
    930.59x = 1,395.88 × 382.39
  4. Step 4: Simplify right side
    930.59x = 533,763.57
  5. Step 5: Solve for x
    x = 533,763.57/930.59
  6. Step 6: Final answer
    x = 573.58

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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.