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Finding the Fourth Proportional to 581.85, 802.96 and 333.19

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Solution

The fourth proportional to 581.85, 802.96 and 333.19 is: 459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.85 : 802.96 = 333.19 : x
  2. Step 2: Convert to fraction form
    581.85/802.96 = 333.19/x
  3. Step 3: Cross multiply
    581.85x = 802.96 × 333.19
  4. Step 4: Simplify right side
    581.85x = 267,539.08
  5. Step 5: Solve for x
    x = 267,539.08/581.85
  6. Step 6: Final answer
    x = 459.81

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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.