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Finding the Fourth Proportional to 514.47, 709.96 and 281.60

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Solution

The fourth proportional to 514.47, 709.96 and 281.60 is: 388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.47 : 709.96 = 281.60 : x
  2. Step 2: Convert to fraction form
    514.47/709.96 = 281.60/x
  3. Step 3: Cross multiply
    514.47x = 709.96 × 281.60
  4. Step 4: Simplify right side
    514.47x = 199,924.74
  5. Step 5: Solve for x
    x = 199,924.74/514.47
  6. Step 6: Final answer
    x = 388.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.