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Finding the Fourth Proportional to 459.68, 634.14 and 293.83

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Solution

The fourth proportional to 459.68, 634.14 and 293.83 is: 405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.68 : 634.14 = 293.83 : x
  2. Step 2: Convert to fraction form
    459.68/634.14 = 293.83/x
  3. Step 3: Cross multiply
    459.68x = 634.14 × 293.83
  4. Step 4: Simplify right side
    459.68x = 186,327.77
  5. Step 5: Solve for x
    x = 186,327.77/459.68
  6. Step 6: Final answer
    x = 405.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.