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Finding the Fourth Proportional to 579.99, 870.17 and 214.83

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Solution

The fourth proportional to 579.99, 870.17 and 214.83 is: 322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.99 : 870.17 = 214.83 : x
  2. Step 2: Convert to fraction form
    579.99/870.17 = 214.83/x
  3. Step 3: Cross multiply
    579.99x = 870.17 × 214.83
  4. Step 4: Simplify right side
    579.99x = 186,938.62
  5. Step 5: Solve for x
    x = 186,938.62/579.99
  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.