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Finding the Fourth Proportional to 894.21, 1,341.30 and 278.19

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Solution

The fourth proportional to 894.21, 1,341.30 and 278.19 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.21 : 1,341.30 = 278.19 : x
  2. Step 2: Convert to fraction form
    894.21/1,341.30 = 278.19/x
  3. Step 3: Cross multiply
    894.21x = 1,341.30 × 278.19
  4. Step 4: Simplify right side
    894.21x = 373,136.25
  5. Step 5: Solve for x
    x = 373,136.25/894.21
  6. Step 6: Final answer
    x = 417.28

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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.