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Finding the Fourth Proportional to 713.46, 1,069.75 and 302.37

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Solution

The fourth proportional to 713.46, 1,069.75 and 302.37 is: 453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.46 : 1,069.75 = 302.37 : x
  2. Step 2: Convert to fraction form
    713.46/1,069.75 = 302.37/x
  3. Step 3: Cross multiply
    713.46x = 1,069.75 × 302.37
  4. Step 4: Simplify right side
    713.46x = 323,460.31
  5. Step 5: Solve for x
    x = 323,460.31/713.46
  6. Step 6: Final answer
    x = 453.37

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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.