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Finding the Fourth Proportional to 332.88, 459.15 and 289.14

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Solution

The fourth proportional to 332.88, 459.15 and 289.14 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.88 : 459.15 = 289.14 : x
  2. Step 2: Convert to fraction form
    332.88/459.15 = 289.14/x
  3. Step 3: Cross multiply
    332.88x = 459.15 × 289.14
  4. Step 4: Simplify right side
    332.88x = 132,758.63
  5. Step 5: Solve for x
    x = 132,758.63/332.88
  6. Step 6: Final answer
    x = 398.82

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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.