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Finding the Fourth Proportional to 521.29, 719.33 and 311.51

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Solution

The fourth proportional to 521.29, 719.33 and 311.51 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.29 : 719.33 = 311.51 : x
  2. Step 2: Convert to fraction form
    521.29/719.33 = 311.51/x
  3. Step 3: Cross multiply
    521.29x = 719.33 × 311.51
  4. Step 4: Simplify right side
    521.29x = 224,080.48
  5. Step 5: Solve for x
    x = 224,080.48/521.29
  6. Step 6: Final answer
    x = 429.85

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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.