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Finding the Fourth Proportional to 497.74, 746.64 and 205.18

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Solution

The fourth proportional to 497.74, 746.64 and 205.18 is: 307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.74 : 746.64 = 205.18 : x
  2. Step 2: Convert to fraction form
    497.74/746.64 = 205.18/x
  3. Step 3: Cross multiply
    497.74x = 746.64 × 205.18
  4. Step 4: Simplify right side
    497.74x = 153,195.60
  5. Step 5: Solve for x
    x = 153,195.60/497.74
  6. Step 6: Final answer
    x = 307.78

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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.