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Finding the Fourth Proportional to 524.30, 719.67 and 463.97

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Solution

The fourth proportional to 524.30, 719.67 and 463.97 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 719.67 = 463.97 : x
  2. Step 2: Convert to fraction form
    524.30/719.67 = 463.97/x
  3. Step 3: Cross multiply
    524.30x = 719.67 × 463.97
  4. Step 4: Simplify right side
    524.30x = 333,905.29
  5. Step 5: Solve for x
    x = 333,905.29/524.30
  6. Step 6: Final answer
    x = 636.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.