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Finding the Fourth Proportional to 580.30, 869.84 and 214.86

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Solution

The fourth proportional to 580.30, 869.84 and 214.86 is: 322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.30 : 869.84 = 214.86 : x
  2. Step 2: Convert to fraction form
    580.30/869.84 = 214.86/x
  3. Step 3: Cross multiply
    580.30x = 869.84 × 214.86
  4. Step 4: Simplify right side
    580.30x = 186,893.82
  5. Step 5: Solve for x
    x = 186,893.82/580.30
  6. Step 6: Final answer
    x = 322.06

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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.