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Finding the Fourth Proportional to 521.48, 719.51 and 311.57

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Solution

The fourth proportional to 521.48, 719.51 and 311.57 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 719.51 = 311.57 : x
  2. Step 2: Convert to fraction form
    521.48/719.51 = 311.57/x
  3. Step 3: Cross multiply
    521.48x = 719.51 × 311.57
  4. Step 4: Simplify right side
    521.48x = 224,175.27
  5. Step 5: Solve for x
    x = 224,175.27/521.48
  6. Step 6: Final answer
    x = 429.88

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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.