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Finding the Fourth Proportional to 579.90, 870.23 and 214.69

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Solution

The fourth proportional to 579.90, 870.23 and 214.69 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 870.23 = 214.69 : x
  2. Step 2: Convert to fraction form
    579.90/870.23 = 214.69/x
  3. Step 3: Cross multiply
    579.90x = 870.23 × 214.69
  4. Step 4: Simplify right side
    579.90x = 186,829.68
  5. Step 5: Solve for x
    x = 186,829.68/579.90
  6. Step 6: Final answer
    x = 322.18

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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.