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Finding the Fourth Proportional to 637.70, 957.18 and 429.44

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Solution

The fourth proportional to 637.70, 957.18 and 429.44 is: 644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.70 : 957.18 = 429.44 : x
  2. Step 2: Convert to fraction form
    637.70/957.18 = 429.44/x
  3. Step 3: Cross multiply
    637.70x = 957.18 × 429.44
  4. Step 4: Simplify right side
    637.70x = 411,048.20
  5. Step 5: Solve for x
    x = 411,048.20/637.70
  6. Step 6: Final answer
    x = 644.58

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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.