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Finding the Fourth Proportional to 459.56, 634.28 and 301.91

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Solution

The fourth proportional to 459.56, 634.28 and 301.91 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 634.28 = 301.91 : x
  2. Step 2: Convert to fraction form
    459.56/634.28 = 301.91/x
  3. Step 3: Cross multiply
    459.56x = 634.28 × 301.91
  4. Step 4: Simplify right side
    459.56x = 191,495.55
  5. Step 5: Solve for x
    x = 191,495.55/459.56
  6. Step 6: Final answer
    x = 416.70

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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.