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Finding the Fourth Proportional to 369.26, 509.59 and 275.84

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Solution

The fourth proportional to 369.26, 509.59 and 275.84 is: 380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.26 : 509.59 = 275.84 : x
  2. Step 2: Convert to fraction form
    369.26/509.59 = 275.84/x
  3. Step 3: Cross multiply
    369.26x = 509.59 × 275.84
  4. Step 4: Simplify right side
    369.26x = 140,565.01
  5. Step 5: Solve for x
    x = 140,565.01/369.26
  6. Step 6: Final answer
    x = 380.67

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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.