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Finding the Fourth Proportional to 555.42, 832.92 and 208.64

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Solution

The fourth proportional to 555.42, 832.92 and 208.64 is: 312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.42 : 832.92 = 208.64 : x
  2. Step 2: Convert to fraction form
    555.42/832.92 = 208.64/x
  3. Step 3: Cross multiply
    555.42x = 832.92 × 208.64
  4. Step 4: Simplify right side
    555.42x = 173,781.73
  5. Step 5: Solve for x
    x = 173,781.73/555.42
  6. Step 6: Final answer
    x = 312.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.