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Finding the Fourth Proportional to 478.89, 719.01 and 306.63

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Solution

The fourth proportional to 478.89, 719.01 and 306.63 is: 460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.89 : 719.01 = 306.63 : x
  2. Step 2: Convert to fraction form
    478.89/719.01 = 306.63/x
  3. Step 3: Cross multiply
    478.89x = 719.01 × 306.63
  4. Step 4: Simplify right side
    478.89x = 220,470.04
  5. Step 5: Solve for x
    x = 220,470.04/478.89
  6. Step 6: Final answer
    x = 460.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.