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Finding the Fourth Proportional to 505.51, 697.62 and 309.09

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Solution

The fourth proportional to 505.51, 697.62 and 309.09 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 697.62 = 309.09 : x
  2. Step 2: Convert to fraction form
    505.51/697.62 = 309.09/x
  3. Step 3: Cross multiply
    505.51x = 697.62 × 309.09
  4. Step 4: Simplify right side
    505.51x = 215,627.37
  5. Step 5: Solve for x
    x = 215,627.37/505.51
  6. Step 6: Final answer
    x = 426.55

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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.