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Finding the Fourth Proportional to 531.24, 733.46 and 406.67

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Solution

The fourth proportional to 531.24, 733.46 and 406.67 is: 561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 733.46 = 406.67 : x
  2. Step 2: Convert to fraction form
    531.24/733.46 = 406.67/x
  3. Step 3: Cross multiply
    531.24x = 733.46 × 406.67
  4. Step 4: Simplify right side
    531.24x = 298,279.03
  5. Step 5: Solve for x
    x = 298,279.03/531.24
  6. Step 6: Final answer
    x = 561.48

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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.