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Finding the Fourth Proportional to 332.93, 459.47 and 208.62

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Solution

The fourth proportional to 332.93, 459.47 and 208.62 is: 287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.93 : 459.47 = 208.62 : x
  2. Step 2: Convert to fraction form
    332.93/459.47 = 208.62/x
  3. Step 3: Cross multiply
    332.93x = 459.47 × 208.62
  4. Step 4: Simplify right side
    332.93x = 95,855.15
  5. Step 5: Solve for x
    x = 95,855.15/332.93
  6. Step 6: Final answer
    x = 287.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.