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Finding the Fourth Proportional to 531.82, 733.82 and 322.03

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Solution

The fourth proportional to 531.82, 733.82 and 322.03 is: 444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 733.82 = 322.03 : x
  2. Step 2: Convert to fraction form
    531.82/733.82 = 322.03/x
  3. Step 3: Cross multiply
    531.82x = 733.82 × 322.03
  4. Step 4: Simplify right side
    531.82x = 236,312.05
  5. Step 5: Solve for x
    x = 236,312.05/531.82
  6. Step 6: Final answer
    x = 444.35

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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.