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Finding the Fourth Proportional to 637.79, 957.33 and 428.94

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Solution

The fourth proportional to 637.79, 957.33 and 428.94 is: 643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.79 : 957.33 = 428.94 : x
  2. Step 2: Convert to fraction form
    637.79/957.33 = 428.94/x
  3. Step 3: Cross multiply
    637.79x = 957.33 × 428.94
  4. Step 4: Simplify right side
    637.79x = 410,637.13
  5. Step 5: Solve for x
    x = 410,637.13/637.79
  6. Step 6: Final answer
    x = 643.85

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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.