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Finding the Fourth Proportional to 656.83, 906.49 and 377.11

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Solution

The fourth proportional to 656.83, 906.49 and 377.11 is: 520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.83 : 906.49 = 377.11 : x
  2. Step 2: Convert to fraction form
    656.83/906.49 = 377.11/x
  3. Step 3: Cross multiply
    656.83x = 906.49 × 377.11
  4. Step 4: Simplify right side
    656.83x = 341,842.95
  5. Step 5: Solve for x
    x = 341,842.95/656.83
  6. Step 6: Final answer
    x = 520.44

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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.