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Finding the Fourth Proportional to 291.21, 403.67 and 281.13

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Solution

The fourth proportional to 291.21, 403.67 and 281.13 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.21 : 403.67 = 281.13 : x
  2. Step 2: Convert to fraction form
    291.21/403.67 = 281.13/x
  3. Step 3: Cross multiply
    291.21x = 403.67 × 281.13
  4. Step 4: Simplify right side
    291.21x = 113,482.34
  5. Step 5: Solve for x
    x = 113,482.34/291.21
  6. Step 6: Final answer
    x = 389.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.