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Finding the Fourth Proportional to 594.45, 820.08 and 345.78

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Solution

The fourth proportional to 594.45, 820.08 and 345.78 is: 477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.45 : 820.08 = 345.78 : x
  2. Step 2: Convert to fraction form
    594.45/820.08 = 345.78/x
  3. Step 3: Cross multiply
    594.45x = 820.08 × 345.78
  4. Step 4: Simplify right side
    594.45x = 283,567.26
  5. Step 5: Solve for x
    x = 283,567.26/594.45
  6. Step 6: Final answer
    x = 477.02

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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.