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Finding the Fourth Proportional to 332.75, 459.40 and 214.78

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Solution

The fourth proportional to 332.75, 459.40 and 214.78 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.75 : 459.40 = 214.78 : x
  2. Step 2: Convert to fraction form
    332.75/459.40 = 214.78/x
  3. Step 3: Cross multiply
    332.75x = 459.40 × 214.78
  4. Step 4: Simplify right side
    332.75x = 98,667.64
  5. Step 5: Solve for x
    x = 98,667.64/332.75
  6. Step 6: Final answer
    x = 296.53

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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.