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Finding the Fourth Proportional to 644.67, 890.39 and 424.61

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Solution

The fourth proportional to 644.67, 890.39 and 424.61 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.67 : 890.39 = 424.61 : x
  2. Step 2: Convert to fraction form
    644.67/890.39 = 424.61/x
  3. Step 3: Cross multiply
    644.67x = 890.39 × 424.61
  4. Step 4: Simplify right side
    644.67x = 378,068.50
  5. Step 5: Solve for x
    x = 378,068.50/644.67
  6. Step 6: Final answer
    x = 586.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.