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Finding the Fourth Proportional to 637.70, 956.55 and 175.52

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Solution

The fourth proportional to 637.70, 956.55 and 175.52 is: 263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.70 : 956.55 = 175.52 : x
  2. Step 2: Convert to fraction form
    637.70/956.55 = 175.52/x
  3. Step 3: Cross multiply
    637.70x = 956.55 × 175.52
  4. Step 4: Simplify right side
    637.70x = 167,897.02
  5. Step 5: Solve for x
    x = 167,897.02/637.70
  6. Step 6: Final answer
    x = 263.29

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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.