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Finding the Fourth Proportional to 579.62, 869.78 and 214.67

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Solution

The fourth proportional to 579.62, 869.78 and 214.67 is: 322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.62 : 869.78 = 214.67 : x
  2. Step 2: Convert to fraction form
    579.62/869.78 = 214.67/x
  3. Step 3: Cross multiply
    579.62x = 869.78 × 214.67
  4. Step 4: Simplify right side
    579.62x = 186,710.25
  5. Step 5: Solve for x
    x = 186,710.25/579.62
  6. Step 6: Final answer
    x = 322.12

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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.