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Finding the Fourth Proportional to 657.45, 906.73 and 492.05

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Solution

The fourth proportional to 657.45, 906.73 and 492.05 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.45 : 906.73 = 492.05 : x
  2. Step 2: Convert to fraction form
    657.45/906.73 = 492.05/x
  3. Step 3: Cross multiply
    657.45x = 906.73 × 492.05
  4. Step 4: Simplify right side
    657.45x = 446,154.04
  5. Step 5: Solve for x
    x = 446,154.04/657.45
  6. Step 6: Final answer
    x = 678.62

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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.