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Finding the Fourth Proportional to 645.91, 890.81 and 436.03

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Solution

The fourth proportional to 645.91, 890.81 and 436.03 is: 601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.91 : 890.81 = 436.03 : x
  2. Step 2: Convert to fraction form
    645.91/890.81 = 436.03/x
  3. Step 3: Cross multiply
    645.91x = 890.81 × 436.03
  4. Step 4: Simplify right side
    645.91x = 388,417.70
  5. Step 5: Solve for x
    x = 388,417.70/645.91
  6. Step 6: Final answer
    x = 601.35

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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.