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Finding the Fourth Proportional to 644.91, 890.70 and 435.95

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Solution

The fourth proportional to 644.91, 890.70 and 435.95 is: 602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.91 : 890.70 = 435.95 : x
  2. Step 2: Convert to fraction form
    644.91/890.70 = 435.95/x
  3. Step 3: Cross multiply
    644.91x = 890.70 × 435.95
  4. Step 4: Simplify right side
    644.91x = 388,296.21
  5. Step 5: Solve for x
    x = 388,296.21/644.91
  6. Step 6: Final answer
    x = 602.09

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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.