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Finding the Fourth Proportional to 594.27, 820.29 and 408.38

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Solution

The fourth proportional to 594.27, 820.29 and 408.38 is: 563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.27 : 820.29 = 408.38 : x
  2. Step 2: Convert to fraction form
    594.27/820.29 = 408.38/x
  3. Step 3: Cross multiply
    594.27x = 820.29 × 408.38
  4. Step 4: Simplify right side
    594.27x = 334,987.46
  5. Step 5: Solve for x
    x = 334,987.46/594.27
  6. Step 6: Final answer
    x = 563.70

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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.