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Finding the Fourth Proportional to 369.81, 509.94 and 259.25

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Solution

The fourth proportional to 369.81, 509.94 and 259.25 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.81 : 509.94 = 259.25 : x
  2. Step 2: Convert to fraction form
    369.81/509.94 = 259.25/x
  3. Step 3: Cross multiply
    369.81x = 509.94 × 259.25
  4. Step 4: Simplify right side
    369.81x = 132,199.40
  5. Step 5: Solve for x
    x = 132,199.40/369.81
  6. Step 6: Final answer
    x = 357.48

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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.