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Finding the Fourth Proportional to 603.84, 833.42 and 383.05

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Solution

The fourth proportional to 603.84, 833.42 and 383.05 is: 528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 833.42 = 383.05 : x
  2. Step 2: Convert to fraction form
    603.84/833.42 = 383.05/x
  3. Step 3: Cross multiply
    603.84x = 833.42 × 383.05
  4. Step 4: Simplify right side
    603.84x = 319,241.53
  5. Step 5: Solve for x
    x = 319,241.53/603.84
  6. Step 6: Final answer
    x = 528.69

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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.