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Finding the Fourth Proportional to 366.39, 546.98 and 353.58

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Solution

The fourth proportional to 366.39, 546.98 and 353.58 is: 527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 546.98 = 353.58 : x
  2. Step 2: Convert to fraction form
    366.39/546.98 = 353.58/x
  3. Step 3: Cross multiply
    366.39x = 546.98 × 353.58
  4. Step 4: Simplify right side
    366.39x = 193,396.69
  5. Step 5: Solve for x
    x = 193,396.69/366.39
  6. Step 6: Final answer
    x = 527.84

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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.