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Finding the Fourth Proportional to 369.07, 508.93 and 275.67

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Solution

The fourth proportional to 369.07, 508.93 and 275.67 is: 380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.07 : 508.93 = 275.67 : x
  2. Step 2: Convert to fraction form
    369.07/508.93 = 275.67/x
  3. Step 3: Cross multiply
    369.07x = 508.93 × 275.67
  4. Step 4: Simplify right side
    369.07x = 140,294.14
  5. Step 5: Solve for x
    x = 140,294.14/369.07
  6. Step 6: Final answer
    x = 380.13

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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.