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Finding the Fourth Proportional to 580.25, 869.97 and 214.84

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Solution

The fourth proportional to 580.25, 869.97 and 214.84 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.25 : 869.97 = 214.84 : x
  2. Step 2: Convert to fraction form
    580.25/869.97 = 214.84/x
  3. Step 3: Cross multiply
    580.25x = 869.97 × 214.84
  4. Step 4: Simplify right side
    580.25x = 186,902.18
  5. Step 5: Solve for x
    x = 186,902.18/580.25
  6. Step 6: Final answer
    x = 322.11

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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.