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Finding the Fourth Proportional to 506.33, 698.81 and 307.26

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Solution

The fourth proportional to 506.33, 698.81 and 307.26 is: 424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.33 : 698.81 = 307.26 : x
  2. Step 2: Convert to fraction form
    506.33/698.81 = 307.26/x
  3. Step 3: Cross multiply
    506.33x = 698.81 × 307.26
  4. Step 4: Simplify right side
    506.33x = 214,714.82
  5. Step 5: Solve for x
    x = 214,714.82/506.33
  6. Step 6: Final answer
    x = 424.06

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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.