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Finding the Fourth Proportional to 497.20, 745.80 and 433.20

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Solution

The fourth proportional to 497.20, 745.80 and 433.20 is: 649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.20 : 745.80 = 433.20 : x
  2. Step 2: Convert to fraction form
    497.20/745.80 = 433.20/x
  3. Step 3: Cross multiply
    497.20x = 745.80 × 433.20
  4. Step 4: Simplify right side
    497.20x = 323,080.56
  5. Step 5: Solve for x
    x = 323,080.56/497.20
  6. Step 6: Final answer
    x = 649.80

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