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Finding the Fourth Proportional to 893.60, 1,340.85 and 346.16

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Solution

The fourth proportional to 893.60, 1,340.85 and 346.16 is: 519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.60 : 1,340.85 = 346.16 : x
  2. Step 2: Convert to fraction form
    893.60/1,340.85 = 346.16/x
  3. Step 3: Cross multiply
    893.60x = 1,340.85 × 346.16
  4. Step 4: Simplify right side
    893.60x = 464,151.99
  5. Step 5: Solve for x
    x = 464,151.99/893.60
  6. Step 6: Final answer
    x = 519.42

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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.