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Finding the Fourth Proportional to 524.06, 723.28 and 377.18

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Solution

The fourth proportional to 524.06, 723.28 and 377.18 is: 520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 723.28 = 377.18 : x
  2. Step 2: Convert to fraction form
    524.06/723.28 = 377.18/x
  3. Step 3: Cross multiply
    524.06x = 723.28 × 377.18
  4. Step 4: Simplify right side
    524.06x = 272,806.75
  5. Step 5: Solve for x
    x = 272,806.75/524.06
  6. Step 6: Final answer
    x = 520.56

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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.