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Finding the Fourth Proportional to 514.23, 709.62 and 281.35

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Solution

The fourth proportional to 514.23, 709.62 and 281.35 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.23 : 709.62 = 281.35 : x
  2. Step 2: Convert to fraction form
    514.23/709.62 = 281.35/x
  3. Step 3: Cross multiply
    514.23x = 709.62 × 281.35
  4. Step 4: Simplify right side
    514.23x = 199,651.59
  5. Step 5: Solve for x
    x = 199,651.59/514.23
  6. Step 6: Final answer
    x = 388.25

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Why These Related Problems?

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