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Finding the Fourth Proportional to 594.83, 821.08 and 447.20

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Solution

The fourth proportional to 594.83, 821.08 and 447.20 is: 617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.83 : 821.08 = 447.20 : x
  2. Step 2: Convert to fraction form
    594.83/821.08 = 447.20/x
  3. Step 3: Cross multiply
    594.83x = 821.08 × 447.20
  4. Step 4: Simplify right side
    594.83x = 367,184.74
  5. Step 5: Solve for x
    x = 367,184.74/594.83
  6. Step 6: Final answer
    x = 617.30

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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.