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Finding the Fourth Proportional to 606.82, 910.49 and 434.59

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Solution

The fourth proportional to 606.82, 910.49 and 434.59 is: 652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.82 : 910.49 = 434.59 : x
  2. Step 2: Convert to fraction form
    606.82/910.49 = 434.59/x
  3. Step 3: Cross multiply
    606.82x = 910.49 × 434.59
  4. Step 4: Simplify right side
    606.82x = 395,690.41
  5. Step 5: Solve for x
    x = 395,690.41/606.82
  6. Step 6: Final answer
    x = 652.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.