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Finding the Fourth Proportional to 505.12, 755.58 and 388.28

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Solution

The fourth proportional to 505.12, 755.58 and 388.28 is: 580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.12 : 755.58 = 388.28 : x
  2. Step 2: Convert to fraction form
    505.12/755.58 = 388.28/x
  3. Step 3: Cross multiply
    505.12x = 755.58 × 388.28
  4. Step 4: Simplify right side
    505.12x = 293,376.60
  5. Step 5: Solve for x
    x = 293,376.60/505.12
  6. Step 6: Final answer
    x = 580.81

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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.