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Finding the Fourth Proportional to 459.58, 634.17 and 372.46

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Solution

The fourth proportional to 459.58, 634.17 and 372.46 is: 513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.58 : 634.17 = 372.46 : x
  2. Step 2: Convert to fraction form
    459.58/634.17 = 372.46/x
  3. Step 3: Cross multiply
    459.58x = 634.17 × 372.46
  4. Step 4: Simplify right side
    459.58x = 236,202.77
  5. Step 5: Solve for x
    x = 236,202.77/459.58
  6. Step 6: Final answer
    x = 513.96

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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.