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Finding the Fourth Proportional to 645.34, 890.54 and 365.60

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Solution

The fourth proportional to 645.34, 890.54 and 365.60 is: 504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.34 : 890.54 = 365.60 : x
  2. Step 2: Convert to fraction form
    645.34/890.54 = 365.60/x
  3. Step 3: Cross multiply
    645.34x = 890.54 × 365.60
  4. Step 4: Simplify right side
    645.34x = 325,581.42
  5. Step 5: Solve for x
    x = 325,581.42/645.34
  6. Step 6: Final answer
    x = 504.51

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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.