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Finding the Fourth Proportional to 369.26, 509.32 and 258.70

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Solution

The fourth proportional to 369.26, 509.32 and 258.70 is: 356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.26 : 509.32 = 258.70 : x
  2. Step 2: Convert to fraction form
    369.26/509.32 = 258.70/x
  3. Step 3: Cross multiply
    369.26x = 509.32 × 258.70
  4. Step 4: Simplify right side
    369.26x = 131,761.08
  5. Step 5: Solve for x
    x = 131,761.08/369.26
  6. Step 6: Final answer
    x = 356.82

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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.