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Finding the Fourth Proportional to 712.33, 982.42 and 463.53

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Solution

The fourth proportional to 712.33, 982.42 and 463.53 is: 639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.33 : 982.42 = 463.53 : x
  2. Step 2: Convert to fraction form
    712.33/982.42 = 463.53/x
  3. Step 3: Cross multiply
    712.33x = 982.42 × 463.53
  4. Step 4: Simplify right side
    712.33x = 455,381.14
  5. Step 5: Solve for x
    x = 455,381.14/712.33
  6. Step 6: Final answer
    x = 639.28

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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.