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Finding the Fourth Proportional to 531.96, 734.01 and 322.11

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Solution

The fourth proportional to 531.96, 734.01 and 322.11 is: 444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 734.01 = 322.11 : x
  2. Step 2: Convert to fraction form
    531.96/734.01 = 322.11/x
  3. Step 3: Cross multiply
    531.96x = 734.01 × 322.11
  4. Step 4: Simplify right side
    531.96x = 236,431.96
  5. Step 5: Solve for x
    x = 236,431.96/531.96
  6. Step 6: Final answer
    x = 444.45

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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.