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Finding the Fourth Proportional to 351.69, 524.65 and 311.10

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Solution

The fourth proportional to 351.69, 524.65 and 311.10 is: 464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.69 : 524.65 = 311.10 : x
  2. Step 2: Convert to fraction form
    351.69/524.65 = 311.10/x
  3. Step 3: Cross multiply
    351.69x = 524.65 × 311.10
  4. Step 4: Simplify right side
    351.69x = 163,219.05
  5. Step 5: Solve for x
    x = 163,219.05/351.69
  6. Step 6: Final answer
    x = 464.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.