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Finding the Fourth Proportional to 675.18, 1,011.35 and 310.28

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Solution

The fourth proportional to 675.18, 1,011.35 and 310.28 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.18 : 1,011.35 = 310.28 : x
  2. Step 2: Convert to fraction form
    675.18/1,011.35 = 310.28/x
  3. Step 3: Cross multiply
    675.18x = 1,011.35 × 310.28
  4. Step 4: Simplify right side
    675.18x = 313,801.68
  5. Step 5: Solve for x
    x = 313,801.68/675.18
  6. Step 6: Final answer
    x = 464.77

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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.