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Finding the Fourth Proportional to 459.74, 634.10 and 293.83

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Solution

The fourth proportional to 459.74, 634.10 and 293.83 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 634.10 = 293.83 : x
  2. Step 2: Convert to fraction form
    459.74/634.10 = 293.83/x
  3. Step 3: Cross multiply
    459.74x = 634.10 × 293.83
  4. Step 4: Simplify right side
    459.74x = 186,314.55
  5. Step 5: Solve for x
    x = 186,314.55/459.74
  6. Step 6: Final answer
    x = 405.26

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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.