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Finding the Fourth Proportional to 683.36, 943.01 and 384.59

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Solution

The fourth proportional to 683.36, 943.01 and 384.59 is: 530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.36 : 943.01 = 384.59 : x
  2. Step 2: Convert to fraction form
    683.36/943.01 = 384.59/x
  3. Step 3: Cross multiply
    683.36x = 943.01 × 384.59
  4. Step 4: Simplify right side
    683.36x = 362,674.09
  5. Step 5: Solve for x
    x = 362,674.09/683.36
  6. Step 6: Final answer
    x = 530.72

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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.