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Finding the Fourth Proportional to 894.21, 1,341.82 and 346.43

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Solution

The fourth proportional to 894.21, 1,341.82 and 346.43 is: 519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.21 : 1,341.82 = 346.43 : x
  2. Step 2: Convert to fraction form
    894.21/1,341.82 = 346.43/x
  3. Step 3: Cross multiply
    894.21x = 1,341.82 × 346.43
  4. Step 4: Simplify right side
    894.21x = 464,840.99
  5. Step 5: Solve for x
    x = 464,840.99/894.21
  6. Step 6: Final answer
    x = 519.84

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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.