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Finding the Fourth Proportional to 804.03, 1,205.19 and 290.67

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Solution

The fourth proportional to 804.03, 1,205.19 and 290.67 is: 435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.03 : 1,205.19 = 290.67 : x
  2. Step 2: Convert to fraction form
    804.03/1,205.19 = 290.67/x
  3. Step 3: Cross multiply
    804.03x = 1,205.19 × 290.67
  4. Step 4: Simplify right side
    804.03x = 350,312.58
  5. Step 5: Solve for x
    x = 350,312.58/804.03
  6. Step 6: Final answer
    x = 435.70

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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.