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Finding the Fourth Proportional to 421.34, 580.80 and 296.66

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Solution

The fourth proportional to 421.34, 580.80 and 296.66 is: 408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.34 : 580.80 = 296.66 : x
  2. Step 2: Convert to fraction form
    421.34/580.80 = 296.66/x
  3. Step 3: Cross multiply
    421.34x = 580.80 × 296.66
  4. Step 4: Simplify right side
    421.34x = 172,300.13
  5. Step 5: Solve for x
    x = 172,300.13/421.34
  6. Step 6: Final answer
    x = 408.93

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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.