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Finding the Fourth Proportional to 555.47, 832.46 and 311.52

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Solution

The fourth proportional to 555.47, 832.46 and 311.52 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.47 : 832.46 = 311.52 : x
  2. Step 2: Convert to fraction form
    555.47/832.46 = 311.52/x
  3. Step 3: Cross multiply
    555.47x = 832.46 × 311.52
  4. Step 4: Simplify right side
    555.47x = 259,326.38
  5. Step 5: Solve for x
    x = 259,326.38/555.47
  6. Step 6: Final answer
    x = 466.86

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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.