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Finding the Fourth Proportional to 693.92, 957.68 and 383.44

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Solution

The fourth proportional to 693.92, 957.68 and 383.44 is: 529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.92 : 957.68 = 383.44 : x
  2. Step 2: Convert to fraction form
    693.92/957.68 = 383.44/x
  3. Step 3: Cross multiply
    693.92x = 957.68 × 383.44
  4. Step 4: Simplify right side
    693.92x = 367,212.82
  5. Step 5: Solve for x
    x = 367,212.82/693.92
  6. Step 6: Final answer
    x = 529.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.