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Finding the Fourth Proportional to 662.36, 914.02 and 382.57

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Solution

The fourth proportional to 662.36, 914.02 and 382.57 is: 527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.36 : 914.02 = 382.57 : x
  2. Step 2: Convert to fraction form
    662.36/914.02 = 382.57/x
  3. Step 3: Cross multiply
    662.36x = 914.02 × 382.57
  4. Step 4: Simplify right side
    662.36x = 349,678.53
  5. Step 5: Solve for x
    x = 349,678.53/662.36
  6. Step 6: Final answer
    x = 527.93

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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.