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Finding the Fourth Proportional to 594.51, 820.61 and 408.26

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Solution

The fourth proportional to 594.51, 820.61 and 408.26 is: 563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.51 : 820.61 = 408.26 : x
  2. Step 2: Convert to fraction form
    594.51/820.61 = 408.26/x
  3. Step 3: Cross multiply
    594.51x = 820.61 × 408.26
  4. Step 4: Simplify right side
    594.51x = 335,026.08
  5. Step 5: Solve for x
    x = 335,026.08/594.51
  6. Step 6: Final answer
    x = 563.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.