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Finding the Fourth Proportional to 644.79, 890.20 and 424.13

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Solution

The fourth proportional to 644.79, 890.20 and 424.13 is: 585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.79 : 890.20 = 424.13 : x
  2. Step 2: Convert to fraction form
    644.79/890.20 = 424.13/x
  3. Step 3: Cross multiply
    644.79x = 890.20 × 424.13
  4. Step 4: Simplify right side
    644.79x = 377,555.01
  5. Step 5: Solve for x
    x = 377,555.01/644.79
  6. Step 6: Final answer
    x = 585.55

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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.