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Finding the Fourth Proportional to 638.64, 957.86 and 176.46

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Solution

The fourth proportional to 638.64, 957.86 and 176.46 is: 264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.64 : 957.86 = 176.46 : x
  2. Step 2: Convert to fraction form
    638.64/957.86 = 176.46/x
  3. Step 3: Cross multiply
    638.64x = 957.86 × 176.46
  4. Step 4: Simplify right side
    638.64x = 169,023.98
  5. Step 5: Solve for x
    x = 169,023.98/638.64
  6. Step 6: Final answer
    x = 264.66

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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.