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Finding the Fourth Proportional to 893.31, 1,340.19 and 345.35

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Solution

The fourth proportional to 893.31, 1,340.19 and 345.35 is: 518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.31 : 1,340.19 = 345.35 : x
  2. Step 2: Convert to fraction form
    893.31/1,340.19 = 345.35/x
  3. Step 3: Cross multiply
    893.31x = 1,340.19 × 345.35
  4. Step 4: Simplify right side
    893.31x = 462,827.92
  5. Step 5: Solve for x
    x = 462,827.92/893.31
  6. Step 6: Final answer
    x = 518.10

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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.