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Finding the Fourth Proportional to 369.23, 509.15 and 258.66

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Solution

The fourth proportional to 369.23, 509.15 and 258.66 is: 356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.23 : 509.15 = 258.66 : x
  2. Step 2: Convert to fraction form
    369.23/509.15 = 258.66/x
  3. Step 3: Cross multiply
    369.23x = 509.15 × 258.66
  4. Step 4: Simplify right side
    369.23x = 131,697.39
  5. Step 5: Solve for x
    x = 131,697.39/369.23
  6. Step 6: Final answer
    x = 356.69

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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.