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Finding the Fourth Proportional to 594.41, 820.30 and 345.81

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Solution

The fourth proportional to 594.41, 820.30 and 345.81 is: 477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.41 : 820.30 = 345.81 : x
  2. Step 2: Convert to fraction form
    594.41/820.30 = 345.81/x
  3. Step 3: Cross multiply
    594.41x = 820.30 × 345.81
  4. Step 4: Simplify right side
    594.41x = 283,667.08
  5. Step 5: Solve for x
    x = 283,667.08/594.41
  6. Step 6: Final answer
    x = 477.23

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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.