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Finding the Fourth Proportional to 879.62, 1,319.47 and 294.67

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Solution

The fourth proportional to 879.62, 1,319.47 and 294.67 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.62 : 1,319.47 = 294.67 : x
  2. Step 2: Convert to fraction form
    879.62/1,319.47 = 294.67/x
  3. Step 3: Cross multiply
    879.62x = 1,319.47 × 294.67
  4. Step 4: Simplify right side
    879.62x = 388,808.22
  5. Step 5: Solve for x
    x = 388,808.22/879.62
  6. Step 6: Final answer
    x = 442.02

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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.