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Finding the Fourth Proportional to 642.58, 964.14 and 277.63

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Solution

The fourth proportional to 642.58, 964.14 and 277.63 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.58 : 964.14 = 277.63 : x
  2. Step 2: Convert to fraction form
    642.58/964.14 = 277.63/x
  3. Step 3: Cross multiply
    642.58x = 964.14 × 277.63
  4. Step 4: Simplify right side
    642.58x = 267,674.19
  5. Step 5: Solve for x
    x = 267,674.19/642.58
  6. Step 6: Final answer
    x = 416.56

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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.