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Finding the Fourth Proportional to 459.62, 634.06 and 293.75

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Solution

The fourth proportional to 459.62, 634.06 and 293.75 is: 405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.62 : 634.06 = 293.75 : x
  2. Step 2: Convert to fraction form
    459.62/634.06 = 293.75/x
  3. Step 3: Cross multiply
    459.62x = 634.06 × 293.75
  4. Step 4: Simplify right side
    459.62x = 186,255.13
  5. Step 5: Solve for x
    x = 186,255.13/459.62
  6. Step 6: Final answer
    x = 405.24

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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.