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Finding the Fourth Proportional to 580.17, 867.72 and 538.62

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Solution

The fourth proportional to 580.17, 867.72 and 538.62 is: 805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.17 : 867.72 = 538.62 : x
  2. Step 2: Convert to fraction form
    580.17/867.72 = 538.62/x
  3. Step 3: Cross multiply
    580.17x = 867.72 × 538.62
  4. Step 4: Simplify right side
    580.17x = 467,371.35
  5. Step 5: Solve for x
    x = 467,371.35/580.17
  6. Step 6: Final answer
    x = 805.58

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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.