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Finding the Fourth Proportional to 637.16, 956.63 and 329.24

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Solution

The fourth proportional to 637.16, 956.63 and 329.24 is: 494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.16 : 956.63 = 329.24 : x
  2. Step 2: Convert to fraction form
    637.16/956.63 = 329.24/x
  3. Step 3: Cross multiply
    637.16x = 956.63 × 329.24
  4. Step 4: Simplify right side
    637.16x = 314,959.22
  5. Step 5: Solve for x
    x = 314,959.22/637.16
  6. Step 6: Final answer
    x = 494.32

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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.