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Finding the Fourth Proportional to 580.13, 869.64 and 214.82

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Solution

The fourth proportional to 580.13, 869.64 and 214.82 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.13 : 869.64 = 214.82 : x
  2. Step 2: Convert to fraction form
    580.13/869.64 = 214.82/x
  3. Step 3: Cross multiply
    580.13x = 869.64 × 214.82
  4. Step 4: Simplify right side
    580.13x = 186,816.06
  5. Step 5: Solve for x
    x = 186,816.06/580.13
  6. Step 6: Final answer
    x = 322.02

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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.