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Finding the Fourth Proportional to 364.85, 506.04 and 352.50

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Solution

The fourth proportional to 364.85, 506.04 and 352.50 is: 488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.85 : 506.04 = 352.50 : x
  2. Step 2: Convert to fraction form
    364.85/506.04 = 352.50/x
  3. Step 3: Cross multiply
    364.85x = 506.04 × 352.50
  4. Step 4: Simplify right side
    364.85x = 178,379.10
  5. Step 5: Solve for x
    x = 178,379.10/364.85
  6. Step 6: Final answer
    x = 488.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.