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Finding the Fourth Proportional to 332.97, 459.54 and 208.77

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Solution

The fourth proportional to 332.97, 459.54 and 208.77 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.97 : 459.54 = 208.77 : x
  2. Step 2: Convert to fraction form
    332.97/459.54 = 208.77/x
  3. Step 3: Cross multiply
    332.97x = 459.54 × 208.77
  4. Step 4: Simplify right side
    332.97x = 95,938.17
  5. Step 5: Solve for x
    x = 95,938.17/332.97
  6. Step 6: Final answer
    x = 288.13

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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.