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Finding the Fourth Proportional to 506.07, 698.56 and 309.60

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Solution

The fourth proportional to 506.07, 698.56 and 309.60 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.07 : 698.56 = 309.60 : x
  2. Step 2: Convert to fraction form
    506.07/698.56 = 309.60/x
  3. Step 3: Cross multiply
    506.07x = 698.56 × 309.60
  4. Step 4: Simplify right side
    506.07x = 216,273.40
  5. Step 5: Solve for x
    x = 216,273.40/506.07
  6. Step 6: Final answer
    x = 427.36

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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.