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Finding the Fourth Proportional to 579.51, 869.00 and 214.05

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Solution

The fourth proportional to 579.51, 869.00 and 214.05 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.51 : 869.00 = 214.05 : x
  2. Step 2: Convert to fraction form
    579.51/869.00 = 214.05/x
  3. Step 3: Cross multiply
    579.51x = 869.00 × 214.05
  4. Step 4: Simplify right side
    579.51x = 186,008.38
  5. Step 5: Solve for x
    x = 186,008.38/579.51
  6. Step 6: Final answer
    x = 320.98

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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.