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Finding the Fourth Proportional to 531.90, 733.84 and 433.48

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Solution

The fourth proportional to 531.90, 733.84 and 433.48 is: 598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.90 : 733.84 = 433.48 : x
  2. Step 2: Convert to fraction form
    531.90/733.84 = 433.48/x
  3. Step 3: Cross multiply
    531.90x = 733.84 × 433.48
  4. Step 4: Simplify right side
    531.90x = 318,104.96
  5. Step 5: Solve for x
    x = 318,104.96/531.90
  6. Step 6: Final answer
    x = 598.05

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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.