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Finding the Fourth Proportional to 369.02, 509.42 and 280.53

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Solution

The fourth proportional to 369.02, 509.42 and 280.53 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.02 : 509.42 = 280.53 : x
  2. Step 2: Convert to fraction form
    369.02/509.42 = 280.53/x
  3. Step 3: Cross multiply
    369.02x = 509.42 × 280.53
  4. Step 4: Simplify right side
    369.02x = 142,908.29
  5. Step 5: Solve for x
    x = 142,908.29/369.02
  6. Step 6: Final answer
    x = 387.26

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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.