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Finding the Fourth Proportional to 713.08, 1,069.74 and 280.24

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Solution

The fourth proportional to 713.08, 1,069.74 and 280.24 is: 420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.08 : 1,069.74 = 280.24 : x
  2. Step 2: Convert to fraction form
    713.08/1,069.74 = 280.24/x
  3. Step 3: Cross multiply
    713.08x = 1,069.74 × 280.24
  4. Step 4: Simplify right side
    713.08x = 299,783.94
  5. Step 5: Solve for x
    x = 299,783.94/713.08
  6. Step 6: Final answer
    x = 420.41

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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.