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Finding the Fourth Proportional to 332.90, 459.47 and 254.09

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Solution

The fourth proportional to 332.90, 459.47 and 254.09 is: 350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.90 : 459.47 = 254.09 : x
  2. Step 2: Convert to fraction form
    332.90/459.47 = 254.09/x
  3. Step 3: Cross multiply
    332.90x = 459.47 × 254.09
  4. Step 4: Simplify right side
    332.90x = 116,746.61
  5. Step 5: Solve for x
    x = 116,746.61/332.90
  6. Step 6: Final answer
    x = 350.69

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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.