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Finding the Fourth Proportional to 421.12, 581.50 and 264.01

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Solution

The fourth proportional to 421.12, 581.50 and 264.01 is: 364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 581.50 = 264.01 : x
  2. Step 2: Convert to fraction form
    421.12/581.50 = 264.01/x
  3. Step 3: Cross multiply
    421.12x = 581.50 × 264.01
  4. Step 4: Simplify right side
    421.12x = 153,523.05
  5. Step 5: Solve for x
    x = 153,523.05/421.12
  6. Step 6: Final answer
    x = 364.56

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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.