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Finding the Fourth Proportional to 497.58, 744.16 and 443.14

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Solution

The fourth proportional to 497.58, 744.16 and 443.14 is: 662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 744.16 = 443.14 : x
  2. Step 2: Convert to fraction form
    497.58/744.16 = 443.14/x
  3. Step 3: Cross multiply
    497.58x = 744.16 × 443.14
  4. Step 4: Simplify right side
    497.58x = 329,767.06
  5. Step 5: Solve for x
    x = 329,767.06/497.58
  6. Step 6: Final answer
    x = 662.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.