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Finding the Fourth Proportional to 497.56, 745.53 and 253.75

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Solution

The fourth proportional to 497.56, 745.53 and 253.75 is: 380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.56 : 745.53 = 253.75 : x
  2. Step 2: Convert to fraction form
    497.56/745.53 = 253.75/x
  3. Step 3: Cross multiply
    497.56x = 745.53 × 253.75
  4. Step 4: Simplify right side
    497.56x = 189,178.24
  5. Step 5: Solve for x
    x = 189,178.24/497.56
  6. Step 6: Final answer
    x = 380.21

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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.