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Finding the Fourth Proportional to 365.93, 548.43 and 288.59

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Solution

The fourth proportional to 365.93, 548.43 and 288.59 is: 432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.93 : 548.43 = 288.59 : x
  2. Step 2: Convert to fraction form
    365.93/548.43 = 288.59/x
  3. Step 3: Cross multiply
    365.93x = 548.43 × 288.59
  4. Step 4: Simplify right side
    365.93x = 158,268.67
  5. Step 5: Solve for x
    x = 158,268.67/365.93
  6. Step 6: Final answer
    x = 432.52

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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.