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Finding the Fourth Proportional to 504.08, 756.48 and 367.52

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Solution

The fourth proportional to 504.08, 756.48 and 367.52 is: 551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.08 : 756.48 = 367.52 : x
  2. Step 2: Convert to fraction form
    504.08/756.48 = 367.52/x
  3. Step 3: Cross multiply
    504.08x = 756.48 × 367.52
  4. Step 4: Simplify right side
    504.08x = 278,021.53
  5. Step 5: Solve for x
    x = 278,021.53/504.08
  6. Step 6: Final answer
    x = 551.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.