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Finding the Fourth Proportional to 677.02, 1,015.14 and 265.80

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Solution

The fourth proportional to 677.02, 1,015.14 and 265.80 is: 398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.02 : 1,015.14 = 265.80 : x
  2. Step 2: Convert to fraction form
    677.02/1,015.14 = 265.80/x
  3. Step 3: Cross multiply
    677.02x = 1,015.14 × 265.80
  4. Step 4: Simplify right side
    677.02x = 269,824.21
  5. Step 5: Solve for x
    x = 269,824.21/677.02
  6. Step 6: Final answer
    x = 398.55

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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.