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Finding the Fourth Proportional to 683.57, 943.30 and 384.79

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Solution

The fourth proportional to 683.57, 943.30 and 384.79 is: 530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 943.30 = 384.79 : x
  2. Step 2: Convert to fraction form
    683.57/943.30 = 384.79/x
  3. Step 3: Cross multiply
    683.57x = 943.30 × 384.79
  4. Step 4: Simplify right side
    683.57x = 362,970.48
  5. Step 5: Solve for x
    x = 362,970.48/683.57
  6. Step 6: Final answer
    x = 530.99

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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.