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Finding the Fourth Proportional to 373.64, 515.63 and 205.59

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Solution

The fourth proportional to 373.64, 515.63 and 205.59 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.64 : 515.63 = 205.59 : x
  2. Step 2: Convert to fraction form
    373.64/515.63 = 205.59/x
  3. Step 3: Cross multiply
    373.64x = 515.63 × 205.59
  4. Step 4: Simplify right side
    373.64x = 106,008.37
  5. Step 5: Solve for x
    x = 106,008.37/373.64
  6. Step 6: Final answer
    x = 283.72

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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.