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Finding the Fourth Proportional to 492.80, 681.24 and 473.12

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Solution

The fourth proportional to 492.80, 681.24 and 473.12 is: 654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 681.24 = 473.12 : x
  2. Step 2: Convert to fraction form
    492.80/681.24 = 473.12/x
  3. Step 3: Cross multiply
    492.80x = 681.24 × 473.12
  4. Step 4: Simplify right side
    492.80x = 322,308.27
  5. Step 5: Solve for x
    x = 322,308.27/492.80
  6. Step 6: Final answer
    x = 654.03

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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.