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Finding the Fourth Proportional to 497.48, 745.62 and 208.64

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Solution

The fourth proportional to 497.48, 745.62 and 208.64 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 745.62 = 208.64 : x
  2. Step 2: Convert to fraction form
    497.48/745.62 = 208.64/x
  3. Step 3: Cross multiply
    497.48x = 745.62 × 208.64
  4. Step 4: Simplify right side
    497.48x = 155,566.16
  5. Step 5: Solve for x
    x = 155,566.16/497.48
  6. Step 6: Final answer
    x = 312.71

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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.