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Finding the Fourth Proportional to 386.60, 578.80 and 277.52

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Solution

The fourth proportional to 386.60, 578.80 and 277.52 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.60 : 578.80 = 277.52 : x
  2. Step 2: Convert to fraction form
    386.60/578.80 = 277.52/x
  3. Step 3: Cross multiply
    386.60x = 578.80 × 277.52
  4. Step 4: Simplify right side
    386.60x = 160,628.58
  5. Step 5: Solve for x
    x = 160,628.58/386.60
  6. Step 6: Final answer
    x = 415.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.