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Finding the Fourth Proportional to 637.42, 954.89 and 470.34

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Solution

The fourth proportional to 637.42, 954.89 and 470.34 is: 704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.42 : 954.89 = 470.34 : x
  2. Step 2: Convert to fraction form
    637.42/954.89 = 470.34/x
  3. Step 3: Cross multiply
    637.42x = 954.89 × 470.34
  4. Step 4: Simplify right side
    637.42x = 449,122.96
  5. Step 5: Solve for x
    x = 449,122.96/637.42
  6. Step 6: Final answer
    x = 704.60

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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.