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Finding the Fourth Proportional to 531.63, 733.67 and 298.75

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Solution

The fourth proportional to 531.63, 733.67 and 298.75 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.63 : 733.67 = 298.75 : x
  2. Step 2: Convert to fraction form
    531.63/733.67 = 298.75/x
  3. Step 3: Cross multiply
    531.63x = 733.67 × 298.75
  4. Step 4: Simplify right side
    531.63x = 219,183.91
  5. Step 5: Solve for x
    x = 219,183.91/531.63
  6. Step 6: Final answer
    x = 412.29

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1.5x scale

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.