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Finding the Fourth Proportional to 603.84, 903.84 and 467.28

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Solution

The fourth proportional to 603.84, 903.84 and 467.28 is: 699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 903.84 = 467.28 : x
  2. Step 2: Convert to fraction form
    603.84/903.84 = 467.28/x
  3. Step 3: Cross multiply
    603.84x = 903.84 × 467.28
  4. Step 4: Simplify right side
    603.84x = 422,346.36
  5. Step 5: Solve for x
    x = 422,346.36/603.84
  6. Step 6: Final answer
    x = 699.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.