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Finding the Fourth Proportional to 505.06, 762.22 and 505.06

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Solution

The fourth proportional to 505.06, 762.22 and 505.06 is: 762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.06 : 762.22 = 505.06 : x
  2. Step 2: Convert to fraction form
    505.06/762.22 = 505.06/x
  3. Step 3: Cross multiply
    505.06x = 762.22 × 505.06
  4. Step 4: Simplify right side
    505.06x = 384,968.41
  5. Step 5: Solve for x
    x = 384,968.41/505.06
  6. Step 6: Final answer
    x = 762.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.