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Finding the Fourth Proportional to 496, 743.28 and 359.08

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Solution

The fourth proportional to 496, 743.28 and 359.08 is: 538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 743.28 = 359.08 : x
  2. Step 2: Convert to fraction form
    496/743.28 = 359.08/x
  3. Step 3: Cross multiply
    496x = 743.28 × 359.08
  4. Step 4: Simplify right side
    496x = 266,896.98
  5. Step 5: Solve for x
    x = 266,896.98/496
  6. Step 6: Final answer
    x = 538.10

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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.