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Finding the Fourth Proportional to 713.35, 1,070.09 and 280.41

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Solution

The fourth proportional to 713.35, 1,070.09 and 280.41 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.35 : 1,070.09 = 280.41 : x
  2. Step 2: Convert to fraction form
    713.35/1,070.09 = 280.41/x
  3. Step 3: Cross multiply
    713.35x = 1,070.09 × 280.41
  4. Step 4: Simplify right side
    713.35x = 300,061.15
  5. Step 5: Solve for x
    x = 300,061.15/713.35
  6. Step 6: Final answer
    x = 420.64

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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.