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Finding the Fourth Proportional to 893.90, 1,341.37 and 346.05

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Solution

The fourth proportional to 893.90, 1,341.37 and 346.05 is: 519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.90 : 1,341.37 = 346.05 : x
  2. Step 2: Convert to fraction form
    893.90/1,341.37 = 346.05/x
  3. Step 3: Cross multiply
    893.90x = 1,341.37 × 346.05
  4. Step 4: Simplify right side
    893.90x = 464,181.09
  5. Step 5: Solve for x
    x = 464,181.09/893.90
  6. Step 6: Final answer
    x = 519.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.