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Finding the Fourth Proportional to 365.92, 546.80 and 357.72

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Solution

The fourth proportional to 365.92, 546.80 and 357.72 is: 534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 546.80 = 357.72 : x
  2. Step 2: Convert to fraction form
    365.92/546.80 = 357.72/x
  3. Step 3: Cross multiply
    365.92x = 546.80 × 357.72
  4. Step 4: Simplify right side
    365.92x = 195,599.47
  5. Step 5: Solve for x
    x = 195,599.47/365.92
  6. Step 6: Final answer
    x = 534.55

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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.