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Finding the Fourth Proportional to 497.64, 745.38 and 375.96

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Solution

The fourth proportional to 497.64, 745.38 and 375.96 is: 563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 745.38 = 375.96 : x
  2. Step 2: Convert to fraction form
    497.64/745.38 = 375.96/x
  3. Step 3: Cross multiply
    497.64x = 745.38 × 375.96
  4. Step 4: Simplify right side
    497.64x = 280,233.06
  5. Step 5: Solve for x
    x = 280,233.06/497.64
  6. Step 6: Final answer
    x = 563.12

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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.