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Finding the Fourth Proportional to 438.17, 603.18 and 382.84

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Solution

The fourth proportional to 438.17, 603.18 and 382.84 is: 527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.17 : 603.18 = 382.84 : x
  2. Step 2: Convert to fraction form
    438.17/603.18 = 382.84/x
  3. Step 3: Cross multiply
    438.17x = 603.18 × 382.84
  4. Step 4: Simplify right side
    438.17x = 230,919.92
  5. Step 5: Solve for x
    x = 230,919.92/438.17
  6. Step 6: Final answer
    x = 527.01

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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.