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Finding the Fourth Proportional to 637.89, 956.81 and 175.65

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Solution

The fourth proportional to 637.89, 956.81 and 175.65 is: 263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.89 : 956.81 = 175.65 : x
  2. Step 2: Convert to fraction form
    637.89/956.81 = 175.65/x
  3. Step 3: Cross multiply
    637.89x = 956.81 × 175.65
  4. Step 4: Simplify right side
    637.89x = 168,062.80
  5. Step 5: Solve for x
    x = 168,062.80/637.89
  6. Step 6: Final answer
    x = 263.47

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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.