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Finding the Fourth Proportional to 581.85, 803.09 and 333.31

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Solution

The fourth proportional to 581.85, 803.09 and 333.31 is: 460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.85 : 803.09 = 333.31 : x
  2. Step 2: Convert to fraction form
    581.85/803.09 = 333.31/x
  3. Step 3: Cross multiply
    581.85x = 803.09 × 333.31
  4. Step 4: Simplify right side
    581.85x = 267,678.52
  5. Step 5: Solve for x
    x = 267,678.52/581.85
  6. Step 6: Final answer
    x = 460.05

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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.