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Finding the Fourth Proportional to 497.76, 746.64 and 208.80

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Solution

The fourth proportional to 497.76, 746.64 and 208.80 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.76 : 746.64 = 208.80 : x
  2. Step 2: Convert to fraction form
    497.76/746.64 = 208.80/x
  3. Step 3: Cross multiply
    497.76x = 746.64 × 208.80
  4. Step 4: Simplify right side
    497.76x = 155,898.43
  5. Step 5: Solve for x
    x = 155,898.43/497.76
  6. Step 6: Final answer
    x = 313.20

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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.