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Finding the Fourth Proportional to 354.66, 534.08 and 309.56

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Solution

The fourth proportional to 354.66, 534.08 and 309.56 is: 466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.66 : 534.08 = 309.56 : x
  2. Step 2: Convert to fraction form
    354.66/534.08 = 309.56/x
  3. Step 3: Cross multiply
    354.66x = 534.08 × 309.56
  4. Step 4: Simplify right side
    354.66x = 165,327.91
  5. Step 5: Solve for x
    x = 165,327.91/354.66
  6. Step 6: Final answer
    x = 466.16

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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.