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Finding the Fourth Proportional to 642.74, 962.81 and 295.59

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Solution

The fourth proportional to 642.74, 962.81 and 295.59 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.74 : 962.81 = 295.59 : x
  2. Step 2: Convert to fraction form
    642.74/962.81 = 295.59/x
  3. Step 3: Cross multiply
    642.74x = 962.81 × 295.59
  4. Step 4: Simplify right side
    642.74x = 284,594.31
  5. Step 5: Solve for x
    x = 284,594.31/642.74
  6. Step 6: Final answer
    x = 442.79

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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.