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Finding the Fourth Proportional to 524.56, 786.23 and 463.81

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Solution

The fourth proportional to 524.56, 786.23 and 463.81 is: 695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 786.23 = 463.81 : x
  2. Step 2: Convert to fraction form
    524.56/786.23 = 463.81/x
  3. Step 3: Cross multiply
    524.56x = 786.23 × 463.81
  4. Step 4: Simplify right side
    524.56x = 364,660.27
  5. Step 5: Solve for x
    x = 364,660.27/524.56
  6. Step 6: Final answer
    x = 695.17

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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.