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Finding the Fourth Proportional to 524.12, 723.29 and 314.45

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Solution

The fourth proportional to 524.12, 723.29 and 314.45 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 723.29 = 314.45 : x
  2. Step 2: Convert to fraction form
    524.12/723.29 = 314.45/x
  3. Step 3: Cross multiply
    524.12x = 723.29 × 314.45
  4. Step 4: Simplify right side
    524.12x = 227,438.54
  5. Step 5: Solve for x
    x = 227,438.54/524.12
  6. Step 6: Final answer
    x = 433.94

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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.