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Finding the Fourth Proportional to 365.72, 504.16 and 278.24

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Solution

The fourth proportional to 365.72, 504.16 and 278.24 is: 383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.72 : 504.16 = 278.24 : x
  2. Step 2: Convert to fraction form
    365.72/504.16 = 278.24/x
  3. Step 3: Cross multiply
    365.72x = 504.16 × 278.24
  4. Step 4: Simplify right side
    365.72x = 140,277.48
  5. Step 5: Solve for x
    x = 140,277.48/365.72
  6. Step 6: Final answer
    x = 383.57

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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.