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Finding the Fourth Proportional to 580.14, 870.33 and 214.92

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Solution

The fourth proportional to 580.14, 870.33 and 214.92 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 870.33 = 214.92 : x
  2. Step 2: Convert to fraction form
    580.14/870.33 = 214.92/x
  3. Step 3: Cross multiply
    580.14x = 870.33 × 214.92
  4. Step 4: Simplify right side
    580.14x = 187,051.32
  5. Step 5: Solve for x
    x = 187,051.32/580.14
  6. Step 6: Final answer
    x = 322.42

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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.