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Finding the Fourth Proportional to 709.60, 1,064 and 276.64

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Solution

The fourth proportional to 709.60, 1,064 and 276.64 is: 414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.60 : 1,064 = 276.64 : x
  2. Step 2: Convert to fraction form
    709.60/1,064 = 276.64/x
  3. Step 3: Cross multiply
    709.60x = 1,064 × 276.64
  4. Step 4: Simplify right side
    709.60x = 294,344.96
  5. Step 5: Solve for x
    x = 294,344.96/709.60
  6. Step 6: Final answer
    x = 414.80

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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.