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Finding the Fourth Proportional to 683.88, 943.13 and 463.16

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Solution

The fourth proportional to 683.88, 943.13 and 463.16 is: 638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.88 : 943.13 = 463.16 : x
  2. Step 2: Convert to fraction form
    683.88/943.13 = 463.16/x
  3. Step 3: Cross multiply
    683.88x = 943.13 × 463.16
  4. Step 4: Simplify right side
    683.88x = 436,813.06
  5. Step 5: Solve for x
    x = 436,813.06/683.88
  6. Step 6: Final answer
    x = 638.73

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Half scale
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Double scale
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Similar ratio
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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.