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Finding the Fourth Proportional to 458.83, 633.62 and 293.44

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Solution

The fourth proportional to 458.83, 633.62 and 293.44 is: 405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.83 : 633.62 = 293.44 : x
  2. Step 2: Convert to fraction form
    458.83/633.62 = 293.44/x
  3. Step 3: Cross multiply
    458.83x = 633.62 × 293.44
  4. Step 4: Simplify right side
    458.83x = 185,929.79
  5. Step 5: Solve for x
    x = 185,929.79/458.83
  6. Step 6: Final answer
    x = 405.22

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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.