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Finding the Fourth Proportional to 677.04, 1,015.71 and 214.84

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Solution

The fourth proportional to 677.04, 1,015.71 and 214.84 is: 322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.04 : 1,015.71 = 214.84 : x
  2. Step 2: Convert to fraction form
    677.04/1,015.71 = 214.84/x
  3. Step 3: Cross multiply
    677.04x = 1,015.71 × 214.84
  4. Step 4: Simplify right side
    677.04x = 218,214.06
  5. Step 5: Solve for x
    x = 218,214.06/677.04
  6. Step 6: Final answer
    x = 322.31

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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.