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Finding the Fourth Proportional to 594.58, 820.41 and 447.58

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Solution

The fourth proportional to 594.58, 820.41 and 447.58 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.58 : 820.41 = 447.58 : x
  2. Step 2: Convert to fraction form
    594.58/820.41 = 447.58/x
  3. Step 3: Cross multiply
    594.58x = 820.41 × 447.58
  4. Step 4: Simplify right side
    594.58x = 367,199.11
  5. Step 5: Solve for x
    x = 367,199.11/594.58
  6. Step 6: Final answer
    x = 617.58

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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.