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Finding the Fourth Proportional to 656.96, 906.63 and 377.25

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Solution

The fourth proportional to 656.96, 906.63 and 377.25 is: 520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.96 : 906.63 = 377.25 : x
  2. Step 2: Convert to fraction form
    656.96/906.63 = 377.25/x
  3. Step 3: Cross multiply
    656.96x = 906.63 × 377.25
  4. Step 4: Simplify right side
    656.96x = 342,026.17
  5. Step 5: Solve for x
    x = 342,026.17/656.96
  6. Step 6: Final answer
    x = 520.62

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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.