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Finding the Fourth Proportional to 524.12, 720.24 and 500.03

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Solution

The fourth proportional to 524.12, 720.24 and 500.03 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 720.24 = 500.03 : x
  2. Step 2: Convert to fraction form
    524.12/720.24 = 500.03/x
  3. Step 3: Cross multiply
    524.12x = 720.24 × 500.03
  4. Step 4: Simplify right side
    524.12x = 360,139.88
  5. Step 5: Solve for x
    x = 360,139.88/524.12
  6. Step 6: Final answer
    x = 687.14

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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.