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Finding the Fourth Proportional to 637.56, 956.32 and 290.84

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Solution

The fourth proportional to 637.56, 956.32 and 290.84 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.56 : 956.32 = 290.84 : x
  2. Step 2: Convert to fraction form
    637.56/956.32 = 290.84/x
  3. Step 3: Cross multiply
    637.56x = 956.32 × 290.84
  4. Step 4: Simplify right side
    637.56x = 278,130.60
  5. Step 5: Solve for x
    x = 278,130.60/637.56
  6. Step 6: Final answer
    x = 436.24

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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.