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Finding the Fourth Proportional to 514.53, 771.88 and 283.53

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Solution

The fourth proportional to 514.53, 771.88 and 283.53 is: 425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.53 : 771.88 = 283.53 : x
  2. Step 2: Convert to fraction form
    514.53/771.88 = 283.53/x
  3. Step 3: Cross multiply
    514.53x = 771.88 × 283.53
  4. Step 4: Simplify right side
    514.53x = 218,845.86
  5. Step 5: Solve for x
    x = 218,845.86/514.53
  6. Step 6: Final answer
    x = 425.34

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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.