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Finding the Fourth Proportional to 693.82, 957.46 and 383.32

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Solution

The fourth proportional to 693.82, 957.46 and 383.32 is: 528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.82 : 957.46 = 383.32 : x
  2. Step 2: Convert to fraction form
    693.82/957.46 = 383.32/x
  3. Step 3: Cross multiply
    693.82x = 957.46 × 383.32
  4. Step 4: Simplify right side
    693.82x = 367,008.78
  5. Step 5: Solve for x
    x = 367,008.78/693.82
  6. Step 6: Final answer
    x = 528.97

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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.