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Finding the Fourth Proportional to 555.73, 832.11 and 349.72

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Solution

The fourth proportional to 555.73, 832.11 and 349.72 is: 523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.73 : 832.11 = 349.72 : x
  2. Step 2: Convert to fraction form
    555.73/832.11 = 349.72/x
  3. Step 3: Cross multiply
    555.73x = 832.11 × 349.72
  4. Step 4: Simplify right side
    555.73x = 291,002.12
  5. Step 5: Solve for x
    x = 291,002.12/555.73
  6. Step 6: Final answer
    x = 523.64

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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.