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Finding the Fourth Proportional to 642.83, 964.16 and 277.31

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Solution

The fourth proportional to 642.83, 964.16 and 277.31 is: 415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.83 : 964.16 = 277.31 : x
  2. Step 2: Convert to fraction form
    642.83/964.16 = 277.31/x
  3. Step 3: Cross multiply
    642.83x = 964.16 × 277.31
  4. Step 4: Simplify right side
    642.83x = 267,369.82
  5. Step 5: Solve for x
    x = 267,369.82/642.83
  6. Step 6: Final answer
    x = 415.93

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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.