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Finding the Fourth Proportional to 656.99, 907.23 and 490.92

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Solution

The fourth proportional to 656.99, 907.23 and 490.92 is: 677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.99 : 907.23 = 490.92 : x
  2. Step 2: Convert to fraction form
    656.99/907.23 = 490.92/x
  3. Step 3: Cross multiply
    656.99x = 907.23 × 490.92
  4. Step 4: Simplify right side
    656.99x = 445,377.35
  5. Step 5: Solve for x
    x = 445,377.35/656.99
  6. Step 6: Final answer
    x = 677.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.