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Finding the Fourth Proportional to 693.92, 957.60 and 383.42

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Solution

The fourth proportional to 693.92, 957.60 and 383.42 is: 529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.92 : 957.60 = 383.42 : x
  2. Step 2: Convert to fraction form
    693.92/957.60 = 383.42/x
  3. Step 3: Cross multiply
    693.92x = 957.60 × 383.42
  4. Step 4: Simplify right side
    693.92x = 367,162.99
  5. Step 5: Solve for x
    x = 367,162.99/693.92
  6. Step 6: Final answer
    x = 529.11

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