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Finding the Fourth Proportional to 645.36, 890.55 and 365.58

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Solution

The fourth proportional to 645.36, 890.55 and 365.58 is: 504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.36 : 890.55 = 365.58 : x
  2. Step 2: Convert to fraction form
    645.36/890.55 = 365.58/x
  3. Step 3: Cross multiply
    645.36x = 890.55 × 365.58
  4. Step 4: Simplify right side
    645.36x = 325,567.27
  5. Step 5: Solve for x
    x = 325,567.27/645.36
  6. Step 6: Final answer
    x = 504.47

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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.