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Finding the Fourth Proportional to 676.94, 1,017.18 and 352.52

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Solution

The fourth proportional to 676.94, 1,017.18 and 352.52 is: 529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.94 : 1,017.18 = 352.52 : x
  2. Step 2: Convert to fraction form
    676.94/1,017.18 = 352.52/x
  3. Step 3: Cross multiply
    676.94x = 1,017.18 × 352.52
  4. Step 4: Simplify right side
    676.94x = 358,576.29
  5. Step 5: Solve for x
    x = 358,576.29/676.94
  6. Step 6: Final answer
    x = 529.70

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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.