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Finding the Fourth Proportional to 479.96, 662.45 and 293.63

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Solution

The fourth proportional to 479.96, 662.45 and 293.63 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.96 : 662.45 = 293.63 : x
  2. Step 2: Convert to fraction form
    479.96/662.45 = 293.63/x
  3. Step 3: Cross multiply
    479.96x = 662.45 × 293.63
  4. Step 4: Simplify right side
    479.96x = 194,510.41
  5. Step 5: Solve for x
    x = 194,510.41/479.96
  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.