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Finding the Fourth Proportional to 459.67, 634.32 and 260.49

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Solution

The fourth proportional to 459.67, 634.32 and 260.49 is: 359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.67 : 634.32 = 260.49 : x
  2. Step 2: Convert to fraction form
    459.67/634.32 = 260.49/x
  3. Step 3: Cross multiply
    459.67x = 634.32 × 260.49
  4. Step 4: Simplify right side
    459.67x = 165,234.02
  5. Step 5: Solve for x
    x = 165,234.02/459.67
  6. Step 6: Final answer
    x = 359.46

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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.