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Finding the Fourth Proportional to 1,342.30, 2,013.31 and 368.55

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Solution

The fourth proportional to 1,342.30, 2,013.31 and 368.55 is: 552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.30 : 2,013.31 = 368.55 : x
  2. Step 2: Convert to fraction form
    1,342.30/2,013.31 = 368.55/x
  3. Step 3: Cross multiply
    1,342.30x = 2,013.31 × 368.55
  4. Step 4: Simplify right side
    1,342.30x = 742,005.40
  5. Step 5: Solve for x
    x = 742,005.40/1,342.30
  6. Step 6: Final answer
    x = 552.79

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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.