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Finding the Fourth Proportional to 509, 702.45 and 309.97

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Solution

The fourth proportional to 509, 702.45 and 309.97 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 702.45 = 309.97 : x
  2. Step 2: Convert to fraction form
    509/702.45 = 309.97/x
  3. Step 3: Cross multiply
    509x = 702.45 × 309.97
  4. Step 4: Simplify right side
    509x = 217,738.43
  5. Step 5: Solve for x
    x = 217,738.43/509
  6. Step 6: Final answer
    x = 427.78

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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.