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Finding the Fourth Proportional to 598.26, 824.58 and 421.29

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Solution

The fourth proportional to 598.26, 824.58 and 421.29 is: 580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.26 : 824.58 = 421.29 : x
  2. Step 2: Convert to fraction form
    598.26/824.58 = 421.29/x
  3. Step 3: Cross multiply
    598.26x = 824.58 × 421.29
  4. Step 4: Simplify right side
    598.26x = 347,387.31
  5. Step 5: Solve for x
    x = 347,387.31/598.26
  6. Step 6: Final answer
    x = 580.66

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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.