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Finding the Fourth Proportional to 332.94, 459.47 and 208.64

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Solution

The fourth proportional to 332.94, 459.47 and 208.64 is: 287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.94 : 459.47 = 208.64 : x
  2. Step 2: Convert to fraction form
    332.94/459.47 = 208.64/x
  3. Step 3: Cross multiply
    332.94x = 459.47 × 208.64
  4. Step 4: Simplify right side
    332.94x = 95,860.48
  5. Step 5: Solve for x
    x = 95,860.48/332.94
  6. Step 6: Final answer
    x = 287.92

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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.