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Finding the Fourth Proportional to 645.23, 890.26 and 365.40

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Solution

The fourth proportional to 645.23, 890.26 and 365.40 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.23 : 890.26 = 365.40 : x
  2. Step 2: Convert to fraction form
    645.23/890.26 = 365.40/x
  3. Step 3: Cross multiply
    645.23x = 890.26 × 365.40
  4. Step 4: Simplify right side
    645.23x = 325,301.33
  5. Step 5: Solve for x
    x = 325,301.33/645.23
  6. Step 6: Final answer
    x = 504.17

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1.5x scale

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.