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Finding the Fourth Proportional to 713, 1,069.68 and 328.26

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Solution

The fourth proportional to 713, 1,069.68 and 328.26 is: 492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713 : 1,069.68 = 328.26 : x
  2. Step 2: Convert to fraction form
    713/1,069.68 = 328.26/x
  3. Step 3: Cross multiply
    713x = 1,069.68 × 328.26
  4. Step 4: Simplify right side
    713x = 351,133.16
  5. Step 5: Solve for x
    x = 351,133.16/713
  6. Step 6: Final answer
    x = 492.47

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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.