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Finding the Fourth Proportional to 712.32, 982.72 and 436.48

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Solution

The fourth proportional to 712.32, 982.72 and 436.48 is: 602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 982.72 = 436.48 : x
  2. Step 2: Convert to fraction form
    712.32/982.72 = 436.48/x
  3. Step 3: Cross multiply
    712.32x = 982.72 × 436.48
  4. Step 4: Simplify right side
    712.32x = 428,937.63
  5. Step 5: Solve for x
    x = 428,937.63/712.32
  6. Step 6: Final answer
    x = 602.17

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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.