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Finding the Fourth Proportional to 683.40, 943.34 and 463.08

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Solution

The fourth proportional to 683.40, 943.34 and 463.08 is: 639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.40 : 943.34 = 463.08 : x
  2. Step 2: Convert to fraction form
    683.40/943.34 = 463.08/x
  3. Step 3: Cross multiply
    683.40x = 943.34 × 463.08
  4. Step 4: Simplify right side
    683.40x = 436,839.57
  5. Step 5: Solve for x
    x = 436,839.57/683.40
  6. Step 6: Final answer
    x = 639.22

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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.