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Finding the Fourth Proportional to 645.02, 890.12 and 365.25

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Solution

The fourth proportional to 645.02, 890.12 and 365.25 is: 504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.02 : 890.12 = 365.25 : x
  2. Step 2: Convert to fraction form
    645.02/890.12 = 365.25/x
  3. Step 3: Cross multiply
    645.02x = 890.12 × 365.25
  4. Step 4: Simplify right side
    645.02x = 325,116.33
  5. Step 5: Solve for x
    x = 325,116.33/645.02
  6. Step 6: Final answer
    x = 504.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.