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Finding the Fourth Proportional to 421.94, 581.66 and 362.66

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Solution

The fourth proportional to 421.94, 581.66 and 362.66 is: 499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 581.66 = 362.66 : x
  2. Step 2: Convert to fraction form
    421.94/581.66 = 362.66/x
  3. Step 3: Cross multiply
    421.94x = 581.66 × 362.66
  4. Step 4: Simplify right side
    421.94x = 210,940.09
  5. Step 5: Solve for x
    x = 210,940.09/421.94
  6. Step 6: Final answer
    x = 499.94

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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.