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Finding the Fourth Proportional to 508.97, 702.44 and 309.83

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Solution

The fourth proportional to 508.97, 702.44 and 309.83 is: 427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.97 : 702.44 = 309.83 : x
  2. Step 2: Convert to fraction form
    508.97/702.44 = 309.83/x
  3. Step 3: Cross multiply
    508.97x = 702.44 × 309.83
  4. Step 4: Simplify right side
    508.97x = 217,637.19
  5. Step 5: Solve for x
    x = 217,637.19/508.97
  6. Step 6: Final answer
    x = 427.61

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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.