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Finding the Fourth Proportional to 314.29, 471.03 and 253.45

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Solution

The fourth proportional to 314.29, 471.03 and 253.45 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.29 : 471.03 = 253.45 : x
  2. Step 2: Convert to fraction form
    314.29/471.03 = 253.45/x
  3. Step 3: Cross multiply
    314.29x = 471.03 × 253.45
  4. Step 4: Simplify right side
    314.29x = 119,382.55
  5. Step 5: Solve for x
    x = 119,382.55/314.29
  6. Step 6: Final answer
    x = 379.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.