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Finding the Fourth Proportional to 637.06, 956.14 and 290.92

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Solution

The fourth proportional to 637.06, 956.14 and 290.92 is: 436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.06 : 956.14 = 290.92 : x
  2. Step 2: Convert to fraction form
    637.06/956.14 = 290.92/x
  3. Step 3: Cross multiply
    637.06x = 956.14 × 290.92
  4. Step 4: Simplify right side
    637.06x = 278,160.25
  5. Step 5: Solve for x
    x = 278,160.25/637.06
  6. Step 6: Final answer
    x = 436.63

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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.