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Finding the Fourth Proportional to 354.98, 534.56 and 309.87

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Solution

The fourth proportional to 354.98, 534.56 and 309.87 is: 466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.98 : 534.56 = 309.87 : x
  2. Step 2: Convert to fraction form
    354.98/534.56 = 309.87/x
  3. Step 3: Cross multiply
    354.98x = 534.56 × 309.87
  4. Step 4: Simplify right side
    354.98x = 165,644.11
  5. Step 5: Solve for x
    x = 165,644.11/354.98
  6. Step 6: Final answer
    x = 466.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.