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Finding the Fourth Proportional to 497.46, 746.37 and 208.74

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Solution

The fourth proportional to 497.46, 746.37 and 208.74 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.46 : 746.37 = 208.74 : x
  2. Step 2: Convert to fraction form
    497.46/746.37 = 208.74/x
  3. Step 3: Cross multiply
    497.46x = 746.37 × 208.74
  4. Step 4: Simplify right side
    497.46x = 155,797.27
  5. Step 5: Solve for x
    x = 155,797.27/497.46
  6. Step 6: Final answer
    x = 313.19

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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.