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Finding the Fourth Proportional to 637.72, 956.46 and 364.12

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Solution

The fourth proportional to 637.72, 956.46 and 364.12 is: 546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.72 : 956.46 = 364.12 : x
  2. Step 2: Convert to fraction form
    637.72/956.46 = 364.12/x
  3. Step 3: Cross multiply
    637.72x = 956.46 × 364.12
  4. Step 4: Simplify right side
    637.72x = 348,266.22
  5. Step 5: Solve for x
    x = 348,266.22/637.72
  6. Step 6: Final answer
    x = 546.11

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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.