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Finding the Fourth Proportional to 332.64, 459.14 and 208.50

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Solution

The fourth proportional to 332.64, 459.14 and 208.50 is: 287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.64 : 459.14 = 208.50 : x
  2. Step 2: Convert to fraction form
    332.64/459.14 = 208.50/x
  3. Step 3: Cross multiply
    332.64x = 459.14 × 208.50
  4. Step 4: Simplify right side
    332.64x = 95,730.69
  5. Step 5: Solve for x
    x = 95,730.69/332.64
  6. Step 6: Final answer
    x = 287.79

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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.