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Finding the Fourth Proportional to 594.10, 820.09 and 531.82

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Solution

The fourth proportional to 594.10, 820.09 and 531.82 is: 734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.10 : 820.09 = 531.82 : x
  2. Step 2: Convert to fraction form
    594.10/820.09 = 531.82/x
  3. Step 3: Cross multiply
    594.10x = 820.09 × 531.82
  4. Step 4: Simplify right side
    594.10x = 436,139.96
  5. Step 5: Solve for x
    x = 436,139.96/594.10
  6. Step 6: Final answer
    x = 734.12

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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.