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Finding the Fourth Proportional to 464.31, 694.62 and 373.17

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Solution

The fourth proportional to 464.31, 694.62 and 373.17 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.31 : 694.62 = 373.17 : x
  2. Step 2: Convert to fraction form
    464.31/694.62 = 373.17/x
  3. Step 3: Cross multiply
    464.31x = 694.62 × 373.17
  4. Step 4: Simplify right side
    464.31x = 259,211.35
  5. Step 5: Solve for x
    x = 259,211.35/464.31
  6. Step 6: Final answer
    x = 558.27

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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.