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Finding the Fourth Proportional to 594.56, 820.56 and 446.94

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Solution

The fourth proportional to 594.56, 820.56 and 446.94 is: 616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 820.56 = 446.94 : x
  2. Step 2: Convert to fraction form
    594.56/820.56 = 446.94/x
  3. Step 3: Cross multiply
    594.56x = 820.56 × 446.94
  4. Step 4: Simplify right side
    594.56x = 366,741.09
  5. Step 5: Solve for x
    x = 366,741.09/594.56
  6. Step 6: Final answer
    x = 616.83

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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.