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Finding the Fourth Proportional to 509.06, 702.39 and 309.84

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Solution

The fourth proportional to 509.06, 702.39 and 309.84 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.06 : 702.39 = 309.84 : x
  2. Step 2: Convert to fraction form
    509.06/702.39 = 309.84/x
  3. Step 3: Cross multiply
    509.06x = 702.39 × 309.84
  4. Step 4: Simplify right side
    509.06x = 217,628.52
  5. Step 5: Solve for x
    x = 217,628.52/509.06
  6. Step 6: Final answer
    x = 427.51

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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.