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Finding the Fourth Proportional to 677.03, 1,015.65 and 214.71

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Solution

The fourth proportional to 677.03, 1,015.65 and 214.71 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.03 : 1,015.65 = 214.71 : x
  2. Step 2: Convert to fraction form
    677.03/1,015.65 = 214.71/x
  3. Step 3: Cross multiply
    677.03x = 1,015.65 × 214.71
  4. Step 4: Simplify right side
    677.03x = 218,064.06
  5. Step 5: Solve for x
    x = 218,064.06/677.03
  6. Step 6: Final answer
    x = 322.09

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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.