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Finding the Fourth Proportional to 555.67, 832.89 and 230.72

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Solution

The fourth proportional to 555.67, 832.89 and 230.72 is: 345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.67 : 832.89 = 230.72 : x
  2. Step 2: Convert to fraction form
    555.67/832.89 = 230.72/x
  3. Step 3: Cross multiply
    555.67x = 832.89 × 230.72
  4. Step 4: Simplify right side
    555.67x = 192,164.38
  5. Step 5: Solve for x
    x = 192,164.38/555.67
  6. Step 6: Final answer
    x = 345.82

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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.