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Finding the Fourth Proportional to 497.83, 744.81 and 359.32

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Solution

The fourth proportional to 497.83, 744.81 and 359.32 is: 537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.83 : 744.81 = 359.32 : x
  2. Step 2: Convert to fraction form
    497.83/744.81 = 359.32/x
  3. Step 3: Cross multiply
    497.83x = 744.81 × 359.32
  4. Step 4: Simplify right side
    497.83x = 267,626.99
  5. Step 5: Solve for x
    x = 267,626.99/497.83
  6. Step 6: Final answer
    x = 537.59

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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.