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Finding the Fourth Proportional to 681.88, 941.24 and 473.12

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Solution

The fourth proportional to 681.88, 941.24 and 473.12 is: 653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.88 : 941.24 = 473.12 : x
  2. Step 2: Convert to fraction form
    681.88/941.24 = 473.12/x
  3. Step 3: Cross multiply
    681.88x = 941.24 × 473.12
  4. Step 4: Simplify right side
    681.88x = 445,319.47
  5. Step 5: Solve for x
    x = 445,319.47/681.88
  6. Step 6: Final answer
    x = 653.08

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Double scale
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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.