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Finding the Fourth Proportional to 656.63, 905.81 and 435.63

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Solution

The fourth proportional to 656.63, 905.81 and 435.63 is: 600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.63 : 905.81 = 435.63 : x
  2. Step 2: Convert to fraction form
    656.63/905.81 = 435.63/x
  3. Step 3: Cross multiply
    656.63x = 905.81 × 435.63
  4. Step 4: Simplify right side
    656.63x = 394,595.83
  5. Step 5: Solve for x
    x = 394,595.83/656.63
  6. Step 6: Final answer
    x = 600.95

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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.