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Finding the Fourth Proportional to 505.81, 698.37 and 309.58

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Solution

The fourth proportional to 505.81, 698.37 and 309.58 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.81 : 698.37 = 309.58 : x
  2. Step 2: Convert to fraction form
    505.81/698.37 = 309.58/x
  3. Step 3: Cross multiply
    505.81x = 698.37 × 309.58
  4. Step 4: Simplify right side
    505.81x = 216,201.38
  5. Step 5: Solve for x
    x = 216,201.38/505.81
  6. Step 6: Final answer
    x = 427.44

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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.