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Finding the Fourth Proportional to 638.50, 957.68 and 176.26

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Solution

The fourth proportional to 638.50, 957.68 and 176.26 is: 264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.50 : 957.68 = 176.26 : x
  2. Step 2: Convert to fraction form
    638.50/957.68 = 176.26/x
  3. Step 3: Cross multiply
    638.50x = 957.68 × 176.26
  4. Step 4: Simplify right side
    638.50x = 168,795.89
  5. Step 5: Solve for x
    x = 168,795.89/638.50
  6. Step 6: Final answer
    x = 264.37

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1.5x scale

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.