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Finding the Fourth Proportional to 365.25, 504.24 and 280.53

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Solution

The fourth proportional to 365.25, 504.24 and 280.53 is: 387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.25 : 504.24 = 280.53 : x
  2. Step 2: Convert to fraction form
    365.25/504.24 = 280.53/x
  3. Step 3: Cross multiply
    365.25x = 504.24 × 280.53
  4. Step 4: Simplify right side
    365.25x = 141,454.45
  5. Step 5: Solve for x
    x = 141,454.45/365.25
  6. Step 6: Final answer
    x = 387.28

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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.