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Finding the Fourth Proportional to 637.90, 956.64 and 272.50

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Solution

The fourth proportional to 637.90, 956.64 and 272.50 is: 408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.90 : 956.64 = 272.50 : x
  2. Step 2: Convert to fraction form
    637.90/956.64 = 272.50/x
  3. Step 3: Cross multiply
    637.90x = 956.64 × 272.50
  4. Step 4: Simplify right side
    637.90x = 260,684.40
  5. Step 5: Solve for x
    x = 260,684.40/637.90
  6. Step 6: Final answer
    x = 408.66

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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.