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Finding the Fourth Proportional to 524.37, 723.77 and 303.46

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Solution

The fourth proportional to 524.37, 723.77 and 303.46 is: 418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.37 : 723.77 = 303.46 : x
  2. Step 2: Convert to fraction form
    524.37/723.77 = 303.46/x
  3. Step 3: Cross multiply
    524.37x = 723.77 × 303.46
  4. Step 4: Simplify right side
    524.37x = 219,635.24
  5. Step 5: Solve for x
    x = 219,635.24/524.37
  6. Step 6: Final answer
    x = 418.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.