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Finding the Fourth Proportional to 579.74, 869.36 and 214.82

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Solution

The fourth proportional to 579.74, 869.36 and 214.82 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.74 : 869.36 = 214.82 : x
  2. Step 2: Convert to fraction form
    579.74/869.36 = 214.82/x
  3. Step 3: Cross multiply
    579.74x = 869.36 × 214.82
  4. Step 4: Simplify right side
    579.74x = 186,752.11
  5. Step 5: Solve for x
    x = 186,752.11/579.74
  6. Step 6: Final answer
    x = 322.13

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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.