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Finding the Fourth Proportional to 580.58, 802.13 and 441.19

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Solution

The fourth proportional to 580.58, 802.13 and 441.19 is: 609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.58 : 802.13 = 441.19 : x
  2. Step 2: Convert to fraction form
    580.58/802.13 = 441.19/x
  3. Step 3: Cross multiply
    580.58x = 802.13 × 441.19
  4. Step 4: Simplify right side
    580.58x = 353,891.73
  5. Step 5: Solve for x
    x = 353,891.73/580.58
  6. Step 6: Final answer
    x = 609.55

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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.