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Finding the Fourth Proportional to 465.07, 641.50 and 278.44

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Solution

The fourth proportional to 465.07, 641.50 and 278.44 is: 384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.07 : 641.50 = 278.44 : x
  2. Step 2: Convert to fraction form
    465.07/641.50 = 278.44/x
  3. Step 3: Cross multiply
    465.07x = 641.50 × 278.44
  4. Step 4: Simplify right side
    465.07x = 178,619.26
  5. Step 5: Solve for x
    x = 178,619.26/465.07
  6. Step 6: Final answer
    x = 384.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.