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Finding the Fourth Proportional to 364.36, 545.67 and 277.59

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Solution

The fourth proportional to 364.36, 545.67 and 277.59 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.36 : 545.67 = 277.59 : x
  2. Step 2: Convert to fraction form
    364.36/545.67 = 277.59/x
  3. Step 3: Cross multiply
    364.36x = 545.67 × 277.59
  4. Step 4: Simplify right side
    364.36x = 151,472.54
  5. Step 5: Solve for x
    x = 151,472.54/364.36
  6. Step 6: Final answer
    x = 415.72

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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.