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Finding the Fourth Proportional to 712.02, 982.26 and 463.35

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Solution

The fourth proportional to 712.02, 982.26 and 463.35 is: 639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 982.26 = 463.35 : x
  2. Step 2: Convert to fraction form
    712.02/982.26 = 463.35/x
  3. Step 3: Cross multiply
    712.02x = 982.26 × 463.35
  4. Step 4: Simplify right side
    712.02x = 455,130.17
  5. Step 5: Solve for x
    x = 455,130.17/712.02
  6. Step 6: Final answer
    x = 639.21

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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.