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Finding the Fourth Proportional to 683.30, 943.01 and 384.59

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Solution

The fourth proportional to 683.30, 943.01 and 384.59 is: 530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.30 : 943.01 = 384.59 : x
  2. Step 2: Convert to fraction form
    683.30/943.01 = 384.59/x
  3. Step 3: Cross multiply
    683.30x = 943.01 × 384.59
  4. Step 4: Simplify right side
    683.30x = 362,665.58
  5. Step 5: Solve for x
    x = 362,665.58/683.30
  6. Step 6: Final answer
    x = 530.76

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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.