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Finding the Fourth Proportional to 459.14, 633.63 and 293.34

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Solution

The fourth proportional to 459.14, 633.63 and 293.34 is: 404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.14 : 633.63 = 293.34 : x
  2. Step 2: Convert to fraction form
    459.14/633.63 = 293.34/x
  3. Step 3: Cross multiply
    459.14x = 633.63 × 293.34
  4. Step 4: Simplify right side
    459.14x = 185,865.86
  5. Step 5: Solve for x
    x = 185,865.86/459.14
  6. Step 6: Final answer
    x = 404.82

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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.