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Finding the Fourth Proportional to 459.44, 633.86 and 293.63

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Solution

The fourth proportional to 459.44, 633.86 and 293.63 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.44 : 633.86 = 293.63 : x
  2. Step 2: Convert to fraction form
    459.44/633.86 = 293.63/x
  3. Step 3: Cross multiply
    459.44x = 633.86 × 293.63
  4. Step 4: Simplify right side
    459.44x = 186,120.34
  5. Step 5: Solve for x
    x = 186,120.34/459.44
  6. Step 6: Final answer
    x = 405.10

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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.