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Finding the Fourth Proportional to 459.94, 634.32 and 294.16

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Solution

The fourth proportional to 459.94, 634.32 and 294.16 is: 405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.94 : 634.32 = 294.16 : x
  2. Step 2: Convert to fraction form
    459.94/634.32 = 294.16/x
  3. Step 3: Cross multiply
    459.94x = 634.32 × 294.16
  4. Step 4: Simplify right side
    459.94x = 186,591.57
  5. Step 5: Solve for x
    x = 186,591.57/459.94
  6. Step 6: Final answer
    x = 405.69

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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.