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Finding the Fourth Proportional to 365.12, 504.24 and 278

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Solution

The fourth proportional to 365.12, 504.24 and 278 is: 383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.12 : 504.24 = 278 : x
  2. Step 2: Convert to fraction form
    365.12/504.24 = 278/x
  3. Step 3: Cross multiply
    365.12x = 504.24 × 278
  4. Step 4: Simplify right side
    365.12x = 140,178.72
  5. Step 5: Solve for x
    x = 140,178.72/365.12
  6. Step 6: Final answer
    x = 383.93

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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.