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Finding the Fourth Proportional to 421.29, 581.76 and 361.89

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Solution

The fourth proportional to 421.29, 581.76 and 361.89 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.29 : 581.76 = 361.89 : x
  2. Step 2: Convert to fraction form
    421.29/581.76 = 361.89/x
  3. Step 3: Cross multiply
    421.29x = 581.76 × 361.89
  4. Step 4: Simplify right side
    421.29x = 210,533.13
  5. Step 5: Solve for x
    x = 210,533.13/421.29
  6. Step 6: Final answer
    x = 499.73

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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.