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Finding the Fourth Proportional to 459.35, 633.77 and 293.73

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Solution

The fourth proportional to 459.35, 633.77 and 293.73 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.35 : 633.77 = 293.73 : x
  2. Step 2: Convert to fraction form
    459.35/633.77 = 293.73/x
  3. Step 3: Cross multiply
    459.35x = 633.77 × 293.73
  4. Step 4: Simplify right side
    459.35x = 186,156.17
  5. Step 5: Solve for x
    x = 186,156.17/459.35
  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.