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Finding the Fourth Proportional to 497.54, 746.39 and 205.15

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Solution

The fourth proportional to 497.54, 746.39 and 205.15 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.54 : 746.39 = 205.15 : x
  2. Step 2: Convert to fraction form
    497.54/746.39 = 205.15/x
  3. Step 3: Cross multiply
    497.54x = 746.39 × 205.15
  4. Step 4: Simplify right side
    497.54x = 153,118.23
  5. Step 5: Solve for x
    x = 153,118.23/497.54
  6. Step 6: Final answer
    x = 307.75

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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.