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Finding the Fourth Proportional to 594.26, 820.26 and 345.71

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Solution

The fourth proportional to 594.26, 820.26 and 345.71 is: 477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.26 : 820.26 = 345.71 : x
  2. Step 2: Convert to fraction form
    594.26/820.26 = 345.71/x
  3. Step 3: Cross multiply
    594.26x = 820.26 × 345.71
  4. Step 4: Simplify right side
    594.26x = 283,572.08
  5. Step 5: Solve for x
    x = 283,572.08/594.26
  6. Step 6: Final answer
    x = 477.19

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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.