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Finding the Fourth Proportional to 421.67, 581.30 and 296.94

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Solution

The fourth proportional to 421.67, 581.30 and 296.94 is: 409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.67 : 581.30 = 296.94 : x
  2. Step 2: Convert to fraction form
    421.67/581.30 = 296.94/x
  3. Step 3: Cross multiply
    421.67x = 581.30 × 296.94
  4. Step 4: Simplify right side
    421.67x = 172,614.14
  5. Step 5: Solve for x
    x = 172,614.14/421.67
  6. Step 6: Final answer
    x = 409.36

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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.