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Finding the Fourth Proportional to 531.82, 734.16 and 357.28

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Solution

The fourth proportional to 531.82, 734.16 and 357.28 is: 493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 734.16 = 357.28 : x
  2. Step 2: Convert to fraction form
    531.82/734.16 = 357.28/x
  3. Step 3: Cross multiply
    531.82x = 734.16 × 357.28
  4. Step 4: Simplify right side
    531.82x = 262,300.68
  5. Step 5: Solve for x
    x = 262,300.68/531.82
  6. Step 6: Final answer
    x = 493.21

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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.