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Finding the Fourth Proportional to 594.69, 820.47 and 345.80

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Solution

The fourth proportional to 594.69, 820.47 and 345.80 is: 477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.69 : 820.47 = 345.80 : x
  2. Step 2: Convert to fraction form
    594.69/820.47 = 345.80/x
  3. Step 3: Cross multiply
    594.69x = 820.47 × 345.80
  4. Step 4: Simplify right side
    594.69x = 283,720.58
  5. Step 5: Solve for x
    x = 283,720.58/594.69
  6. Step 6: Final answer
    x = 477.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.