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Finding the Fourth Proportional to 594.30, 820.41 and 345.58

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Solution

The fourth proportional to 594.30, 820.41 and 345.58 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.30 : 820.41 = 345.58 : x
  2. Step 2: Convert to fraction form
    594.30/820.41 = 345.58/x
  3. Step 3: Cross multiply
    594.30x = 820.41 × 345.58
  4. Step 4: Simplify right side
    594.30x = 283,513.19
  5. Step 5: Solve for x
    x = 283,513.19/594.30
  6. Step 6: Final answer
    x = 477.06

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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.