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Finding the Fourth Proportional to 427.88, 644.33 and 306.99

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Solution

The fourth proportional to 427.88, 644.33 and 306.99 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.88 : 644.33 = 306.99 : x
  2. Step 2: Convert to fraction form
    427.88/644.33 = 306.99/x
  3. Step 3: Cross multiply
    427.88x = 644.33 × 306.99
  4. Step 4: Simplify right side
    427.88x = 197,802.77
  5. Step 5: Solve for x
    x = 197,802.77/427.88
  6. Step 6: Final answer
    x = 462.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.