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Finding the Fourth Proportional to 531.16, 732.60 and 443.68

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Solution

The fourth proportional to 531.16, 732.60 and 443.68 is: 611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.16 : 732.60 = 443.68 : x
  2. Step 2: Convert to fraction form
    531.16/732.60 = 443.68/x
  3. Step 3: Cross multiply
    531.16x = 732.60 × 443.68
  4. Step 4: Simplify right side
    531.16x = 325,039.97
  5. Step 5: Solve for x
    x = 325,039.97/531.16
  6. Step 6: Final answer
    x = 611.94

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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.