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Finding the Fourth Proportional to 683.52, 943.17 and 384.75

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Solution

The fourth proportional to 683.52, 943.17 and 384.75 is: 530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 943.17 = 384.75 : x
  2. Step 2: Convert to fraction form
    683.52/943.17 = 384.75/x
  3. Step 3: Cross multiply
    683.52x = 943.17 × 384.75
  4. Step 4: Simplify right side
    683.52x = 362,884.66
  5. Step 5: Solve for x
    x = 362,884.66/683.52
  6. Step 6: Final answer
    x = 530.91

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1.5x scale

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.