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Finding the Fourth Proportional to 421.43, 581.34 and 264.09

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Solution

The fourth proportional to 421.43, 581.34 and 264.09 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.43 : 581.34 = 264.09 : x
  2. Step 2: Convert to fraction form
    421.43/581.34 = 264.09/x
  3. Step 3: Cross multiply
    421.43x = 581.34 × 264.09
  4. Step 4: Simplify right side
    421.43x = 153,526.08
  5. Step 5: Solve for x
    x = 153,526.08/421.43
  6. Step 6: Final answer
    x = 364.30

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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.