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Finding the Fourth Proportional to 496.63, 745.12 and 302.02

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Solution

The fourth proportional to 496.63, 745.12 and 302.02 is: 453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.63 : 745.12 = 302.02 : x
  2. Step 2: Convert to fraction form
    496.63/745.12 = 302.02/x
  3. Step 3: Cross multiply
    496.63x = 745.12 × 302.02
  4. Step 4: Simplify right side
    496.63x = 225,041.14
  5. Step 5: Solve for x
    x = 225,041.14/496.63
  6. Step 6: Final answer
    x = 453.14

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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.